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A035731
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Coordination sequence for 36-dimensional cubic lattice.
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3
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1, 72, 2592, 62232, 1121472, 16186536, 194986080, 2017132920, 18300435840, 147972367880, 1080041397408, 7190430174936, 44042615547456, 250012542410856, 1323529602867936, 6569619630522168, 30721376739859200
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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 (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -1).
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FORMULA
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G.f.: ((1+x)/(1-x))^36.
n*a(n) = 72*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 24 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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