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 A266555 Decimal expansion of the generalized Glaisher-Kinkelin constant A(8). 19
 9, 9, 1, 7, 1, 8, 3, 2, 1, 6, 3, 2, 8, 2, 2, 1, 9, 6, 9, 9, 9, 5, 4, 7, 4, 8, 2, 7, 6, 5, 7, 9, 3, 3, 3, 9, 8, 6, 7, 8, 5, 9, 7, 6, 0, 5, 7, 3, 0, 5, 0, 7, 9, 2, 4, 7, 0, 7, 6, 5, 9, 9, 3, 4, 0, 9, 5, 0, 2, 3, 7, 9, 3, 4, 2, 1, 7, 6, 1, 9, 0, 9, 3, 0, 9, 1, 2, 3, 8, 8, 8, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Also known as the 8th Bendersky constant. LINKS G. C. Greubel, Table of n, a(n) for n = 0..2001 FORMULA A(k) = exp(H(k)*B(k+1)/(k+1) - zeta'(-k)), where B(k) is the k-th Bernoulli number, H(k) the k-th harmonic number, and zeta'(x) is the derivative of the Riemann Zeta function. A(8) = -zeta'(-8) = (B(8)/4)*(zeta(9)/zeta(8)). A(8) = exp(-8! * Zeta(9) / (2^9 * Pi^8)). - Vaclav Kotesovec, Jan 01 2016 EXAMPLE 0.99171832163282219699954748276579333986785976057305079247... MATHEMATICA Exp[N[(BernoulliB[8]/4)*(Zeta[9]/Zeta[8]), 200]] CROSSREFS Cf. A019727 (A(0)), A074962 (A(1)), A243262 (A(2)), A243263 (A(3)), A243264 (A(4)), A243265 (A(5)), A266553 (A(6)), A266554 (A(7)), A266556 (A(9)), A266557 (A(10)), A266558 (A(11)), A266559 (A(12)), A260662 (A(13)), A266560 (A(14)), A266562 (A(15)), A266563 (A(16)), A266564 (A(17)), A266565 (A(18)), A266566 (A(19)), A266567 (A(20)). Cf. A013666, A013667, A259073, A027641, A027642. Sequence in context: A228788 A019788 A175618 * A145280 A144667 A118428 Adjacent sequences:  A266552 A266553 A266554 * A266556 A266557 A266558 KEYWORD nonn,cons AUTHOR G. C. Greubel, Dec 31 2015 STATUS approved

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Last modified December 10 14:27 EST 2019. Contains 329896 sequences. (Running on oeis4.)