A226121 Decimal expansion of sum_{n=1..infinity} n^3/(exp(2*Pi*n/13)-1).
1, 1, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 5, 9, 3, 7, 4, 5, 8, 5, 1, 0, 2, 5, 5, 4, 7, 3, 3, 5, 5, 8, 8, 5, 8, 4, 9, 1, 3, 3, 9, 7, 3, 8, 4, 1, 5, 0, 4, 3, 3, 9, 1, 5, 8, 0, 5, 4, 1, 2, 7, 9, 3, 5, 1, 5, 8, 7, 8, 5, 1, 6, 5, 4, 2, 3, 2
Offset: 3
Examples
119.0000000000000000000000000000000959374585102554733558858491339738415043391...
Links
- Simon Plouffe, Simon Plouffe Home Page
- Eric Weisstein's MathWorld, Almost Integer
Crossrefs
Programs
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Mathematica
NSum[n^3/(Exp[2*Pi*n/13] - 1), {n, 1, Infinity}, NSumTerms -> 500, WorkingPrecision -> 100] // RealDigits[#, 10, 100] & // First
Extensions
Offset corrected by Rick L. Shepherd, Jan 01 2014
Comments