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 A152651 Decimal expansion of 3*Zeta(5) - Zeta(3)*Pi^2/6. 10
 1, 1, 3, 3, 4, 7, 8, 9, 1, 5, 1, 3, 2, 8, 1, 3, 6, 6, 0, 7, 9, 7, 0, 1, 1, 0, 1, 7, 8, 8, 5, 9, 7, 6, 9, 3, 2, 0, 8, 9, 0, 9, 1, 2, 9, 1, 8, 4, 5, 6, 0, 4, 2, 2, 7, 2, 2, 6, 7, 5, 5, 7, 5, 6, 6, 5, 6, 6, 9, 5, 7, 3, 5, 2, 1, 2, 2, 4, 0, 2, 4, 5, 9, 7, 7, 7, 4, 4, 9, 4, 7, 1, 4, 9, 6, 5, 0, 4, 0, 1, 7, 6, 6, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A division by 2 is missing in Mezo's penultimate formula on page 4. LINKS David Borwein and J. M. Borwein, On an intriguing integral and some series related to zeta(4), Proc. Am. Math. Soc. 123 (1995) 1191-1198. Istvan Mezo, Summation of Hyperharmonic Numbers, arXiv:0811.0042 [math.CO], 2008. FORMULA Equals Sum_(j >= 1) H(j)/j^4 = where H(j) = A001008(j)/A002805(j). Equals 3*A013663 - A002117*A013661. EXAMPLE Equals 1.1334789151328136607970110178859769320890912918456042272... PROG (PARI) 3*zeta(5) - zeta(3)*Pi^2/6 \\ Michel Marcus, Jul 07 2015 CROSSREFS Sequence in context: A155689 A051263 A058674 * A091973 A050066 A050064 Adjacent sequences:  A152648 A152649 A152650 * A152652 A152653 A152654 KEYWORD cons,easy,nonn AUTHOR R. J. Mathar, Dec 10 2008 STATUS approved

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Last modified March 20 23:22 EDT 2019. Contains 321354 sequences. (Running on oeis4.)