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 A013678 Decimal expansion of zeta(20). 5
 1, 0, 0, 0, 0, 0, 0, 9, 5, 3, 9, 6, 2, 0, 3, 3, 8, 7, 2, 7, 9, 6, 1, 1, 3, 1, 5, 2, 0, 3, 8, 6, 8, 3, 4, 4, 9, 3, 4, 5, 9, 4, 3, 7, 9, 4, 1, 8, 7, 4, 1, 0, 5, 9, 5, 7, 5, 0, 0, 5, 6, 4, 8, 9, 8, 5, 1, 1, 3, 7, 5, 1, 3, 7, 3, 1, 1, 4, 3, 9, 0, 0, 2, 5, 7, 8, 3, 6, 0, 9, 7, 9, 7, 6, 3, 8, 7, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811. LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. FORMULA zeta(20) = Sum_{n >= 1} (A010052(n)/n^10) = Sum_{n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^10 ). - Mikael Aaltonen, Mar 06 2015 zeta(20) = 174611 * Pi^20 / 1531329465290625. - Vaclav Kotesovec, May 15 2019 zeta(20) = Product_{k>=1} 1/(1 - 1/prime(k)^20). - Vaclav Kotesovec, May 02 2020 EXAMPLE 1.00000095396203387279611315203868344934594379418741059575005648985113... MATHEMATICA RealDigits[Zeta[20], 10, 120][[1]] (* Harvey P. Dale, Jun 21 2015 *) CROSSREFS Sequence in context: A057888 A182125 A010542 * A336334 A139604 A104139 Adjacent sequences:  A013675 A013676 A013677 * A013679 A013680 A013681 KEYWORD cons,nonn AUTHOR STATUS approved

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Last modified May 21 03:10 EDT 2022. Contains 353886 sequences. (Running on oeis4.)