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A301684
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Coordination sequence for node of type V2 in "krg" 2-D tiling (or net).
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38
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1, 4, 8, 12, 18, 22, 28, 34, 36, 42, 48, 50, 56, 62, 64, 70, 76, 78, 84, 90, 92, 98, 104, 106, 112, 118, 120, 126, 132, 134, 140, 146, 148, 154, 160, 162, 168, 174, 176, 182, 188, 190, 196, 202, 204, 210, 216, 218, 224, 230, 232, 238, 244, 246, 252, 258, 260, 266, 272, 274, 280, 286, 288, 294, 300
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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Linear recurrence and g.f. confirmed by Shutov/Maleev link. - Ray Chandler, Aug 30 2023
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REFERENCES
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Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987. See Table 2.2.1, page 66, 2nd row, 2nd tiling.
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LINKS
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FORMULA
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G.f.: -(2*x^8-2*x^6-3*x^4-3*x^3-4*x^2-3*x-1)/(x^4-x^3-x+1). - N. J. A. Sloane, Mar 29 2018
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MATHEMATICA
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LinearRecurrence[{1, 0, 1, -1}, {1, 4, 8, 12, 18, 22, 28, 34, 36}, 100] (* Paolo Xausa, Nov 15 2023 *)
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CROSSREFS
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Coordination sequences for the 20 2-uniform tilings in the order in which they appear in the Galebach catalog, together with their names in the RCSR database (two sequences per tiling): #1 krt A265035, A265036; #2 cph A301287, A301289; #3 krm A301291, A301293; #4 krl A301298, A298024; #5 krq A301299, A301301; #6 krs A301674, A301676; #7 krr A301670, A301672; #8 krk A301291, A301293; #9 krn A301678, A301680; #10 krg A301682, A301684; #11 bew A008574, A296910; #12 krh A301686, A301688; #13 krf A301690, A301692; #14 krd A301694, A219529; #15 krc A301708, A301710; #16 usm A301712, A301714; #17 krj A219529, A301697; #18 kre A301716, A301718; #19 krb A301720, A301722; #20 kra A301724, A301726.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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