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A013678
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Decimal expansion of zeta(20).
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9
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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
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OFFSET
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1,8
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REFERENCES
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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.
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LINKS
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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].
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FORMULA
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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) = Product_{k>=1} 1/(1 - 1/prime(k)^20). - Vaclav Kotesovec, May 02 2020
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EXAMPLE
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1.00000095396203387279611315203868344934594379418741059575005648985113...
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MATHEMATICA
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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