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A301686
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Coordination sequence for node of type V1 in "krh" 2-D tiling (or net).
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38
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1, 5, 7, 14, 17, 19, 28, 29, 31, 42, 41, 43, 56, 53, 55, 70, 65, 67, 84, 77, 79, 98, 89, 91, 112, 101, 103, 126, 113, 115, 140, 125, 127, 154, 137, 139, 168, 149, 151, 182, 161, 163, 196, 173, 175, 210, 185, 187, 224, 197, 199, 238, 209, 211, 252, 221, 223
(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, 2nd row, 1st tiling.
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LINKS
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FORMULA
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G.f.: -(-x^6-5*x^5-7*x^4-12*x^3-7*x^2-5*x-1)/(x^6-2*x^3+1). - N. J. A. Sloane, Mar 28 2018
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MATHEMATICA
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LinearRecurrence[{0, 0, 2, 0, 0, -1}, {1, 5, 7, 14, 17, 19, 28}, 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,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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