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 A013670 Decimal expansion of zeta(12). 8
 1, 0, 0, 0, 2, 4, 6, 0, 8, 6, 5, 5, 3, 3, 0, 8, 0, 4, 8, 2, 9, 8, 6, 3, 7, 9, 9, 8, 0, 4, 7, 7, 3, 9, 6, 7, 0, 9, 6, 0, 4, 1, 6, 0, 8, 8, 4, 5, 8, 0, 0, 3, 4, 0, 4, 5, 3, 3, 0, 4, 0, 9, 5, 2, 1, 3, 3, 2, 5, 2, 0, 1, 9, 6, 8, 1, 9, 4, 0, 9, 1, 3, 0, 4, 9, 0, 4, 2, 8, 0, 8, 5, 5, 1, 9, 0, 0, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 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(12) = 2/3*2^12/(2^12 - 1)*( Sum_{n even} n^2*p(n)/(n^2 - 1)^13 ), where p(n) = 7*n^12 + 182*n^10 + 1001*n^8 + 1716*n^6 + 1001*n^4 + 182*n^2 + 7 is a row polynomial of A091043. - Peter Bala, Dec 05 2013 zeta(12) = Sum_{n >= 1} (A010052(n)/n^6) = Sum {n >= 1} ( (floor(sqrt(n))-floor(sqrt(n-1)))/n^6 ). - Mikael Aaltonen, Feb 20 2015 zeta(12) = 691/638512875*Pi^12 (see A002432). - Rick L. Shepherd, May 30 2016 MATHEMATICA RealDigits[Zeta[12], 10, 120][[1]] (* Harvey P. Dale, Apr 30 2013 *) PROG (PARI) zeta(12) \\ Michel Marcus, Feb 20 2015 CROSSREFS Cf. A013662, A013664, A013666, A013668. Sequence in context: A141062 A131806 A004518 * A121206 A062004 A009285 Adjacent sequences:  A013667 A013668 A013669 * A013671 A013672 A013673 KEYWORD cons,nonn AUTHOR STATUS approved

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Last modified August 17 07:46 EDT 2017. Contains 290635 sequences.