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A017115
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a(n) = (8*n + 4)^3.
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1
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64, 1728, 8000, 21952, 46656, 85184, 140608, 216000, 314432, 438976, 592704, 778688, 1000000, 1259712, 1560896, 1906624, 2299968, 2744000, 3241792, 3796416, 4410944, 5088448, 5832000, 6644672, 7529536, 8489664, 9528128, 10648000, 11852352, 13144256, 14526784, 16003008
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 64*(1+x)*(x^2 + 22*x + 1)/(x-1)^4. - R. J. Mathar, Jul 14 2016
Sum_{n>=0} 1/a(n) = 7*zeta(3)/512.
Sum_{n>=0} (-1)^n/a(n) = Pi^3/2048. (End)
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MATHEMATICA
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LinearRecurrence[{4, -6, 4, -1}, {64, 1728, 8000, 21952}, 24] (* Ray Chandler, Aug 04 2015 *)
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PROG
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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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STATUS
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approved
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