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Search: a201155 -id:a201155
Displaying 1-7 of 7 results found.
page 1
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A201149
Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
1
6, 20, 56, 140, 330, 745, 1634, 3504, 7388, 15366, 31612, 64446, 130391, 262113, 523984, 1042433, 2065098, 4075761, 8017395, 15724110, 30756544, 60014931, 116849951, 227054267, 440389499, 852738289, 1648633351, 3182830233
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A201155
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 7*a(n-1) -16*a(n-2) +4*a(n-3) +39*a(n-4) -56*a(n-5) +2*a(n-6) +59*a(n-7) -49*a(n-8) -5*a(n-9) +29*a(n-10) -14*a(n-11) -2*a(n-12) +4*a(n-13) -a(n-14)
EXAMPLE
Some solutions for n=10
..0..1....0..0....0..0....0..0....0..0....0..0....0..1....0..1....0..0....0..0
..0..1....0..0....0..0....0..0....0..0....0..2....0..1....0..1....0..0....0..0
..0..2....0..0....1..2....0..2....0..2....0..1....0..1....0..2....0..0....0..0
..1..2....0..2....2..2....0..1....0..2....1..1....0..1....0..2....0..1....0..1
..2..2....0..2....1..2....0..1....1..2....1..2....2..2....1..2....0..1....0..2
..1..2....0..2....2..2....1..1....1..2....1..2....1..2....1..2....0..1....0..2
..1..2....1..1....1..2....1..2....1..2....1..2....2..2....1..2....0..2....0..2
..1..2....1..1....2..2....1..2....1..2....1..2....2..2....2..2....0..1....1..1
..1..2....1..2....2..2....2..2....1..2....1..2....1..2....2..2....1..1....1..1
..2..2....1..2....2..2....1..2....2..2....2..2....1..2....2..2....1..2....2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201150
Number of nX3 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
1
11, 56, 235, 860, 2910, 9287, 28452, 84473, 244933, 697065, 1954865, 5417604, 14870436, 40495840, 109564073, 294830410, 789790546, 2107673769, 5606720691, 14874608710, 39372687032, 104018286133, 274358183769, 722650263970
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A201155
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..111
EXAMPLE
Some solutions for n=8
..0..1..1....0..0..2....0..0..0....0..0..0....0..0..1....0..0..0....0..0..2
..0..1..1....0..2..2....0..0..1....0..0..0....0..0..1....0..1..2....0..2..2
..0..1..1....1..1..2....0..0..1....0..0..0....0..0..1....1..2..2....0..1..2
..0..1..2....1..1..2....0..0..1....0..0..0....0..0..1....2..2..2....0..1..2
..0..1..2....1..2..2....1..1..2....0..1..1....0..2..1....1..2..2....0..1..2
..0..1..2....2..2..2....1..2..2....0..1..2....1..2..2....1..2..2....0..1..2
..2..2..2....1..2..2....2..2..2....0..2..2....1..1..2....1..2..2....1..1..2
..1..2..2....2..2..2....1..2..2....1..1..2....1..2..2....2..2..2....1..1..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201151
Number of nX4 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
1
19, 140, 860, 4572, 22183, 100362, 432048, 1791740, 7225068, 28510387, 110629661, 423640742, 1605361751, 6032626211, 22517083366, 83589139136, 308933515758, 1137661210293, 4177146453272, 15300167480847, 55930646132694
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A201155
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..49
EXAMPLE
Some solutions for n=5
..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..1
..0..1..1..1....0..1..1..1....0..0..1..2....0..0..0..0....0..0..1..2
..0..1..2..1....0..1..2..1....0..1..1..2....0..0..0..1....0..0..2..2
..0..1..1..1....1..1..2..2....0..2..1..2....0..2..1..2....0..1..2..2
..0..2..2..2....2..2..2..2....0..2..1..2....1..1..2..2....0..1..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201152
Number of nX5 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
1
32, 330, 2910, 22183, 153796, 988216, 6002677, 34907951, 196209473, 1073245835, 5743380130, 30190482143, 156366599219, 799859107532, 4048379560069, 20304198548926, 101028745597855, 499209984568710, 2451625415035065
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A201155
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..30
EXAMPLE
Some solutions for n=4
..0..0..0..0..0....0..0..0..2..1....0..0..0..0..1....0..0..0..0..0
..0..0..0..1..1....0..0..2..2..2....0..0..1..1..2....0..0..2..1..2
..0..0..0..2..2....0..1..2..2..2....0..2..1..2..2....1..2..2..2..2
..0..0..1..2..2....1..1..2..2..2....0..1..1..2..2....1..2..2..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201148
Number of n X n 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
0
3, 20, 235, 4572, 153796, 9005581, 938925282, 177169920997, 61277532455559
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Diagonal of A201155
LINKS
Table of n, a(n) for n=1..9.
EXAMPLE
Some solutions for n=4
..0..0..2..1....0..0..0..0....0..0..0..0....0..0..1..1....0..0..0..2
..0..0..2..2....0..0..0..0....0..0..0..1....0..0..1..2....0..0..0..2
..0..2..2..2....0..0..2..1....0..0..1..1....2..2..2..2....1..1..1..2
..1..1..2..2....0..0..1..1....0..0..2..2....2..2..2..2....2..2..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201153
Number of nX6 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
0
53, 745, 9287, 100362, 988216, 9005581, 77316192, 632331257, 4971371594, 37852928161, 280870999959, 2040764929737, 14573664882124, 102583696681074, 713346304542539, 4909295618862765, 33487025412414016, 226676629629048029
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A201155
LINKS
Table of n, a(n) for n=1..18.
EXAMPLE
Some solutions for n=3
..0..0..0..0..1..1....0..0..0..0..0..0....0..0..0..1..1..1....0..0..0..0..2..1
..0..0..2..1..1..2....0..0..0..0..0..2....0..1..1..1..1..1....1..1..2..2..2..2
..0..2..2..2..2..2....0..0..1..1..1..2....0..2..1..1..1..2....1..1..2..2..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
A201154
Number of nX7 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally
+10
0
87, 1634, 28452, 432048, 6002677, 77316192, 938925282, 10844322561, 120031503310, 1282802588833, 13328322040209, 135365873507224, 1349536402322995, 13250844417224841
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 7 of A201155
LINKS
Table of n, a(n) for n=1..14.
EXAMPLE
Some solutions for n=3
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..1..1..1..1
..0..1..2..1..1..1..2....0..0..2..1..1..2..2....0..0..0..1..1..1..2
..1..2..2..2..2..2..2....0..0..2..2..1..2..2....0..2..1..1..1..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Nov 27 2011
STATUS
approved
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