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A016833
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a(n) = (4n+2)^9.
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1
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512, 10077696, 1000000000, 20661046784, 198359290368, 1207269217792, 5429503678976, 19683000000000, 60716992766464, 165216101262848, 406671383849472, 922190162669056, 1953125000000000, 3904305912313344, 7427658739644928, 13537086546263552, 23762680013799936
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
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FORMULA
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Sum_{n>=0} 1/a(n) = 511*zeta(9)/262144.
Sum_{n>=0} (-1)^n/a(n) = 277*Pi^9/4227858432. (End)
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MATHEMATICA
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(4*Range[0, 20]+2)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {512, 10077696, 1000000000, 20661046784, 198359290368, 1207269217792, 5429503678976, 19683000000000, 60716992766464, 165216101262848}, 20] (* Harvey P. Dale, May 26 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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STATUS
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approved
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