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A035728
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Coordination sequence for 33-dimensional cubic lattice.
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2
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1, 66, 2178, 47938, 792066, 10484034, 115852418, 1099811394, 9160333314, 68031186498, 456334097538, 2793666465090, 15745443972610, 82302279485250, 401492555264130, 1837895885382722, 7932626513059842, 32418928714275906
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OFFSET
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0,2
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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 (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).
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FORMULA
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G.f.: ((1+x)/(1-x))^33.
n*a(n) = 66*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 23 2018
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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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