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A013672
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Decimal expansion of zeta(14).
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3
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1, 0, 0, 0, 0, 6, 1, 2, 4, 8, 1, 3, 5, 0, 5, 8, 7, 0, 4, 8, 2, 9, 2, 5, 8, 5, 4, 5, 1, 0, 5, 1, 3, 5, 3, 3, 3, 7, 4, 7, 4, 8, 1, 6, 9, 6, 1, 6, 9, 1, 5, 4, 5, 4, 9, 4, 8, 2, 7, 5, 5, 2, 0, 2, 2, 5, 2, 8, 6, 2, 9, 4, 1, 0, 2, 3, 1, 7, 7, 4, 2, 0, 8, 7, 6, 6, 5, 9, 7, 8, 2, 9, 7, 1, 9, 9, 8, 4, 6
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OFFSET
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1,6
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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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Table of n, a(n) for n=1..99.
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(14) = Sum_{n >= 1} (A010052(n)/n^7) = Sum {n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^7 ). - Mikael Aaltonen, Feb 20 2015
zeta(14) = 2/18243225*Pi^14 (see A002432). - Rick L. Shepherd, May 30 2016
zeta(14) = Product_{k>=1} 1/(1 - 1/prime(k)^14). - Vaclav Kotesovec, May 02 2020
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EXAMPLE
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1.0000612481350587048292585451051353337474816961691545494827552022528629...
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MATHEMATICA
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RealDigits[Zeta[14], 10, 120][[1]] (* Harvey P. Dale, Dec 19 2014 *)
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PROG
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(PARI) zeta(14) \\ Michel Marcus, Feb 20 2015
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CROSSREFS
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Sequence in context: A106687 A083463 A187110 * A019946 A090551 A220782
Adjacent sequences: A013669 A013670 A013671 * A013673 A013674 A013675
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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