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 A013676 Decimal expansion of zeta(18). 5
 1, 0, 0, 0, 0, 0, 3, 8, 1, 7, 2, 9, 3, 2, 6, 4, 9, 9, 9, 8, 3, 9, 8, 5, 6, 4, 6, 1, 6, 4, 4, 6, 2, 1, 9, 3, 9, 7, 3, 0, 4, 5, 4, 6, 9, 7, 2, 1, 8, 9, 5, 3, 3, 3, 1, 1, 4, 3, 1, 7, 4, 4, 2, 9, 9, 8, 7, 6, 3, 0, 0, 3, 9, 5, 4, 2, 6, 5, 0, 0, 4, 5, 6, 3, 8, 0, 0, 1, 9, 6, 8, 6, 6, 8, 9, 8, 9, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 REFERENCES Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 811. LINKS Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. FORMULA zeta(18) = Sum_{n >= 1} (A010052(n)/n^9) = Sum_{n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^9 ). - Mikael Aaltonen, Mar 06 2015 zeta(18) = 43867*Pi^18/38979295480125 = A046988(9)*Pi^18/A002432(9). - Alonso del Arte, Feb 12 2016 zeta(18) = Product_{k>=1} 1/(1 - 1/prime(k)^18). - Vaclav Kotesovec, May 02 2020 EXAMPLE 1.0000038172932649998398564616446219397... MATHEMATICA RealDigits[Zeta[18], 10, 100][[1]] (* Alonso del Arte, Feb 07 2016 *) PROG (PARI) zeta(18) \\ Michel Marcus, Feb 12 2016 CROSSREFS Sequence in context: A219995 A021266 A054399 * A199270 A131563 A016622 Adjacent sequences: A013673 A013674 A013675 * A013677 A013678 A013679 KEYWORD cons,nonn AUTHOR STATUS approved

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Last modified March 27 12:09 EDT 2023. Contains 361570 sequences. (Running on oeis4.)