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A035709
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Coordination sequence for 14-dimensional cubic lattice.
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1
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1, 28, 392, 3668, 25872, 147084, 703640, 2919620, 10746400, 35704060, 108568488, 305568564, 803467056, 1989102444, 4666890936, 10435418532, 22345512000, 46012094940, 91437047240, 175918049300, 328578611536
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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 (14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, -1).
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FORMULA
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G.f.: ((1+x)/(1-x))^14.
n*a(n) = 28*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))^14, {x, 0, 40}], x] (* or *) LinearRecurrence[{14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, -1}, {1, 28, 392, 3668, 25872, 147084, 703640, 2919620, 10746400, 35704060, 108568488, 305568564, 803467056, 1989102444, 4666890936}, 40] (* Harvey P. Dale, Dec 04 2022 *)
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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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