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 A091659 Decimal expansion of (PolyGamma(1,(1+sqrt(5))/4)-PolyGamma(1,(3+sqrt(5))/4))/2. 3
 5, 6, 8, 3, 0, 0, 0, 0, 3, 1, 4, 6, 2, 3, 5, 1, 7, 8, 7, 6, 0, 3, 3, 0, 4, 1, 1, 0, 3, 3, 1, 7, 5, 1, 5, 1, 4, 0, 7, 5, 2, 6, 6, 7, 4, 7, 8, 2, 5, 4, 0, 6, 1, 2, 2, 7, 2, 9, 5, 6, 7, 0, 5, 1, 8, 7, 7, 9, 2, 0, 8, 9, 7, 2, 4, 5, 9, 4, 0, 0, 2, 8, 0, 8, 2, 5, 7, 1, 4, 5, 4, 1, 5, 5, 2, 8, 5, 3, 2, 2, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 424. LINKS Eric Weisstein's World of Mathematics, Ramanujan Continued Fractions EXAMPLE 0.568300003... MATHEMATICA 4*Integrate[(x*Sech[x])/E^(Sqrt[5]*x), {x, 0, Infinity}] RealDigits[(PolyGamma[1, (1+Sqrt[5])/4]-PolyGamma[1, (3+Sqrt[5])/4])/2, 10, 100][[1]] (* Vaclav Kotesovec, Aug 16 2015 *) PROG (PARI) polygamma(n, x) = if (n == 0, psi(x), (-1)^(n+1)*n!*zetahurwitz(n+1, x)); (polygamma(1, (1+sqrt(5))/4) - polygamma(1, (3+sqrt(5))/4))/2 \\ Gheorghe Coserea, Sep 30 2018 CROSSREFS Cf. A091660. Sequence in context: A337711 A345411 A275480 * A271571 A094931 A239354 Adjacent sequences:  A091656 A091657 A091658 * A091660 A091661 A091662 KEYWORD nonn,cons AUTHOR Eric W. Weisstein, Jan 26 2004 STATUS approved

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Last modified August 3 08:21 EDT 2021. Contains 346435 sequences. (Running on oeis4.)