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 A008121 Coordination sequence T1 for Zeolite Code JBW. 1
 1, 4, 10, 21, 39, 61, 81, 107, 148, 192, 228, 266, 324, 393, 449, 503, 575, 659, 738, 814, 906, 1002, 1090, 1191, 1311, 1427, 1521, 1629, 1780, 1926, 2036, 2148, 2308, 2487, 2625, 2753, 2919, 3105, 3274, 3432, 3618, 3808, 3978, 4169, 4391, 4601, 4769, 4959 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000 R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889. Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane International Zeolite Association, Database of Zeolite Structures Index entries for linear recurrences with constant coefficients, signature (0,1,-2,2,-1,3,-2,4,-4,2,-3,1,-2,2,-1,1). FORMULA G.f.: (1 + x) * (1 - x + x^2) * (1 + 3*x + 8*x^2 + 16*x^3 + 28*x^4 + 37*x^5 + 40*x^6 + 37*x^7 + 28*x^8 + 16*x^9 + 8*x^10 + 3*x^11 + x^12) / ((1 - x)^3 * (1 + x^2)^2 * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 18 2015 MATHEMATICA CoefficientList[Series[(1 + x) * (1 - x + x^2) * (1 + 3*x + 8*x^2 + 16*x^3 + 28*x^4 + 37*x^5 + 40*x^6 + 37*x^7 + 28*x^8 + 16*x^9 + 8*x^10 + 3*x^11 + x^12) / ((1 - x)^3 * (1 + x^2)^2 * (1 + x + x^2 + x^3 + x^4)^2), {x, 0, 47}], x] (* Stefano Spezia, Dec 22 2022 *) CROSSREFS Cf. A005897, A008000. Sequence in context: A009898 A301213 A358042 * A253687 A253688 A049480 Adjacent sequences: A008118 A008119 A008120 * A008122 A008123 A008124 KEYWORD nonn,easy AUTHOR Ralf W. Grosse-Kunstleve STATUS approved

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Last modified May 28 09:54 EDT 2023. Contains 362999 sequences. (Running on oeis4.)