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A035711
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Coordination sequence for 16-dimensional cubic lattice.
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1
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1, 32, 512, 5472, 44032, 285088, 1549824, 7288544, 30316544, 113461024, 387328512, 1219605600, 3575055360, 9832110240, 25537728000, 63001648608, 148348809216, 334834507296, 727126954496, 1524223640416, 3093172083712
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OFFSET
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0,2
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COMMENTS
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Coordination sequence for 16-dimensional cyclotomic lattice Z[zeta_32].
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LINKS
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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 (16, -120, 560, -1820, 4368, -8008, 11440, -12870, 11440, -8008, 4368, -1820, 560, -120, 16, -1).
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FORMULA
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G.f.: ((1+x)/(1-x))^16.
n*a(n) = 32*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018
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MATHEMATICA
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CoefficientList[Series[((1+x)/(1-x))^16, {x, 0, 20}], x] (* Harvey P. Dale, Dec 27 2015 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
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EXTENSIONS
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STATUS
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approved
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