Search: a005551 -id:a005551
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A003289
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,1).
(Formerly M1229)
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+10
8
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1, 2, 4, 10, 30, 98, 328, 1140, 4040, 14542, 53060, 195624, 727790, 2728450, 10296720, 39084190, 149115456, 571504686, 2199310460, 8494701152, 32919635606, 127961125094, 498775164568, 1949112527750, 7634623480172
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A003290
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,2).
(Formerly M4119)
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+10
7
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1, 6, 18, 50, 156, 508, 1724, 6018, 21440, 77632, 284706, 1055162, 3944956, 14858934, 56325420, 214698578, 822373244, 3163606784, 12217121138, 47343356398, 184038696776, 717456797490, 2804219712064, 10986639618642
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,2
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A003291
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,1).
(Formerly M1613)
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+10
7
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2, 6, 16, 46, 140, 464, 1580, 5538, 19804, 71884, 264204, 980778, 3671652, 13843808, 52519836, 200320878, 767688176, 2954410484, 11412815256, 44237340702, 171997272012, 670612394118, 2621415708492, 10271274034254
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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2,1
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A005549
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (0,3).
(Formerly M4842)
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+10
7
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1, 12, 54, 188, 636, 2168, 7556, 26826, 96724, 353390, 1305126, 4864450, 18272804, 69103526, 262871644, 1005137688, 3860909698, 14890903690, 57641869140, 223864731680, 872028568182, 3406103773674, 13337263822236
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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3,2
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A005550
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,2).
(Formerly M3012)
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+10
7
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3, 16, 57, 184, 601, 2036, 7072, 25088, 90503, 330836, 1222783, 4561058, 17145990, 64888020, 246995400, 944986464, 3631770111, 14013725268, 54268946152, 210842757798, 821569514032, 3209925357702, 12572219405144
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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3,1
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A005552
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (1,3).
(Formerly M3657)
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+10
7
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4, 35, 166, 633, 2276, 8107, 29086, 105460, 386320, 1428664, 5327738, 20014741, 75677726, 287784832, 1099944240, 4223170456, 16280541834, 62992268833, 244536402984, 952154191644, 3717618386556, 14551788319328
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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4,1
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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|
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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A005553
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Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (2,2).
(Formerly M4235)
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+10
7
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6, 40, 174, 644, 2268, 8020, 28666, 103696, 379450, 1402276, 5227366, 19633732, 74230146, 282273744, 1078902168, 4142578832, 15970882784, 61798680076, 239921541412, 934258870200, 3648030627298, 14280474288676
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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4,1
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COMMENTS
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The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
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LINKS
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|
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CROSSREFS
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KEYWORD
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nonn,walk,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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