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A301718
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Coordination sequence for node of type V2 in "kre" 2-D tiling (or net).
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38
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1, 5, 11, 17, 23, 28, 33, 39, 45, 51, 56, 61, 67, 73, 79, 84, 89, 95, 101, 107, 112, 117, 123, 129, 135, 140, 145, 151, 157, 163, 168, 173, 179, 185, 191, 196, 201, 207, 213, 219, 224, 229, 235, 241, 247, 252, 257, 263, 269, 275, 280, 285, 291, 297, 303, 308
(list;
graph;
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 67, 1st row, 3rd tiling.
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LINKS
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FORMULA
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G.f.: (x^4+2*x^3+x^2+2*x+1)*(x+1)^2 / ((1-x)*(1-x^5)). - N. J. A. Sloane, Mar 28 2018
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MATHEMATICA
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LinearRecurrence[{1, 0, 0, 0, 1, -1}, {1, 5, 11, 17, 23, 28, 33}, 100] (* Paolo Xausa, Nov 16 2023 *)
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PROG
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(PARI) See Links section.
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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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