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A010965
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a(n) = binomial(n,12).
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12
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1, 13, 91, 455, 1820, 6188, 18564, 50388, 125970, 293930, 646646, 1352078, 2704156, 5200300, 9657700, 17383860, 30421755, 51895935, 86493225, 141120525, 225792840, 354817320, 548354040, 834451800, 1251677700, 1852482996, 2707475148, 3910797436, 5586853480
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OFFSET
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12,2
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COMMENTS
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Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta_13].
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1).
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FORMULA
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a(n+11) = n(n+1)(n+2)(n+3)(n+4)(n+5)(n+6)(n+7)(n+8)(n+9)(n+10)(n+11)/12!. - Artur Jasinski, Dec 02 2007, R. J. Mathar, Jul 07 2009
Sum_{n>=12} 1/a(n) = 12/11.
Sum_{n>=12} (-1)^n/a(n) = A001787(12)*log(2) - A242091(12)/11! = 24576*log(2) - 3934820/231 = 0.9322955884... (End)
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MAPLE
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MATHEMATICA
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PROG
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(PARI) for(n=12, 50, print1(binomial(n, 12), ", ")) \\ G. C. Greubel, Aug 31 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Some formulas referring to other offsets corrected by R. J. Mathar, Jul 07 2009
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STATUS
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approved
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