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 A013677 Decimal expansion of zeta(19). 9
 1, 0, 0, 0, 0, 0, 1, 9, 0, 8, 2, 1, 2, 7, 1, 6, 5, 5, 3, 9, 3, 8, 9, 2, 5, 6, 5, 6, 9, 5, 7, 7, 9, 5, 1, 0, 1, 3, 5, 3, 2, 5, 8, 5, 7, 1, 1, 4, 4, 8, 3, 8, 6, 3, 0, 2, 3, 5, 9, 3, 3, 0, 4, 6, 7, 6, 1, 8, 2, 3, 9, 4, 9, 7, 0, 5, 3, 4, 1, 3, 0, 9, 3, 1, 2, 6, 6, 4, 2, 2, 7, 1, 1, 8, 0, 7, 6, 3, 0 (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(19) = Sum_{n >= 1} (A010052(n)/n^(19/2)) = Sum_{n >= 1} ( (floor(sqrt(n)) - floor(sqrt(n-1)))/n^(19/2) ). - Mikael Aaltonen, Feb 23 2015 zeta(19) = Product_{k>=1} 1/(1 - 1/prime(k)^19). - Vaclav Kotesovec, May 02 2020 EXAMPLE 1.0000019082127165539389256569577951013532585711448386302359330467618239... MATHEMATICA RealDigits[Zeta[19], 10, 75][[1]] (* Vincenzo Librandi, Feb 24 2015 *) CROSSREFS Cf. A013663, A013667, A013669, A013671, A013675. Sequence in context: A242711 A178229 A021995 * A021528 A210973 A154185 Adjacent sequences: A013674 A013675 A013676 * A013678 A013679 A013680 KEYWORD cons,nonn AUTHOR STATUS approved

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Last modified January 30 02:40 EST 2023. Contains 359939 sequences. (Running on oeis4.)