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 A008356 Crystal ball sequence for D_5 lattice. 4
 1, 41, 411, 2051, 6981, 18733, 42783, 86983, 161993, 281713, 463715, 729675, 1105805, 1623285, 2318695, 3234447, 4419217, 5928377, 7824427, 10177427, 13065429, 16574909, 20801199, 25848919 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS T. D. Noe, Table of n, a(n) for n = 0..1000 Index entries for crystal ball sequences J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf). Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1). FORMULA G.f.: (1+x)*(1+34*x+146*x^2+34*x^3+x^4)/(1-x)^6. [Colin Barker, Mar 16 2012] MAPLE 18/5*n^5+9*n^4+38/3*n^3+10*n^2+71/15*n+1; MATHEMATICA CoefficientList[Series[(1+x)*(1+34*x+146*x^2+34*x^3+x^4)/(1-x)^6, {x, 0, 30}], x] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1, 41, 411, 2051, 6981, 18733}, 30] (* Harvey P. Dale, Sep 03 2016 *) CROSSREFS Sequence in context: A250143 A069594 A124338 * A190421 A178387 A068849 Adjacent sequences: A008353 A008354 A008355 * A008357 A008358 A008359 KEYWORD nonn,easy AUTHOR N. J. A. Sloane and J. H. Conway STATUS approved

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Last modified October 3 20:04 EDT 2023. Contains 365870 sequences. (Running on oeis4.)