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A301726
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Coordination sequence for node of type V2 in "kra" 2-D tiling (or net).
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38
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1, 5, 11, 16, 21, 27, 33, 38, 43, 49, 54, 59, 65, 70, 75, 81, 87, 92, 97, 103, 108, 113, 119, 124, 129, 135, 141, 146, 151, 157, 162, 167, 173, 178, 183, 189, 195, 200, 205, 211, 216, 221, 227, 232, 237, 243, 249, 254, 259, 265, 270, 275, 281, 286, 291, 297, 303, 308, 313, 319, 324, 329, 335, 340
(list;
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listen;
history;
text;
internal format)
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OFFSET
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0,2
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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, 1st row, 1st tiling.
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LINKS
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A. V. Maleev, A. A. Mokrova, A. V. Shutov, Coordination sequences of the 2-uniform graphs (Russian), Algebra, number theory and discrete geometry: modern problems and application of past problems (2019), Proceedings of the XVI International Conference in honor of the 80th birthday of Professor Michel Deza, 262-266.
Index entries for linear recurrences with constant coefficients, signature (2, -2, 2, -2, 2, -2, 2, -2, 2, -1).
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FORMULA
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G.f. = (x^2+x+1)*(x^8+2*x^7+3*x^4+2*x+1)/((x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1)*(x-1)^2). - N. J. A. Sloane, Mar 29 2018
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MATHEMATICA
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CoefficientList[Series[(x^2+x+1)(x^8+2x^7+3x^4+2x+1)/((x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1)(x-1)^2), {x, 0, 110}], x] (* Harvey P. Dale, Sep 25 2020 *)
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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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