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A172510
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a(n) = binomial(n + 4, 4) * 8^n.
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2
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1, 40, 960, 17920, 286720, 4128768, 55050240, 692060160, 8304721920, 95965675520, 1074815565824, 11725260718080, 125069447659520, 1308418837053440, 13458022323978240, 136374626216312832, 1363746262163128320, 13477021884906209280, 131775325096860712960
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (8^(-1 + n)*(1 + n)*(2 + n)*(3 + n)*(4 + n)) / 3. - Colin Barker, Jul 24 2017
Sum_{n>=0} 1/a(n) = 4400/3 - 10976*log(8/7).
Sum_{n>=0} (-1)^n/a(n) = 23328*log(9/8) - 8240/3. (End)
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MATHEMATICA
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Table[Binomial[n + 4, 4]*8^n, {n, 0, 25}]
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PROG
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(PARI) Vec(1 / (1-8*x)^5 + O(x^30)) \\ Colin Barker, Jul 24 2017
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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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