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A086231 Decimal expansion of value of Watson's integral. 11
1, 5, 1, 6, 3, 8, 6, 0, 5, 9, 1, 5, 1, 9, 7, 8, 0, 1, 8, 1, 5, 6, 0, 1, 2, 1, 5, 9, 6, 8, 1, 4, 2, 0, 7, 7, 9, 9, 5, 5, 3, 8, 7, 0, 4, 4, 4, 5, 2, 2, 6, 2, 6, 7, 6, 5, 6, 6, 9, 8, 0, 4, 6, 3, 6, 5, 8, 0, 8, 6, 3, 2, 0, 3, 5, 3, 5, 2, 1, 4, 5, 0, 4, 0, 1, 6, 1, 1, 7, 4, 1, 2, 0, 9, 6, 8, 8, 1, 1, 3, 9, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 40.

Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author]

A. J. Guttmann, Lattice Green's functions in all dimensions, J. Phys. A.: Math. Theor. 43 (2010) 305205

Eric Weisstein's World of Mathematics, Polya's Random Walk Constants

Eric Weisstein's World of Mathematics, Polyas Random Walk Constants

FORMULA

Equals (sqrt(3)-1)*(gamma(1/24)*gamma(11/24))^2/(32*Pi^3). - G. C. Greubel, Jan 07 2018

EXAMPLE

1.51638605915197801815601215968142077995538704445226267656698...

MAPLE

evalf((sqrt(3)-1)*(GAMMA(1/24)*GAMMA(11/24))^2 / (32*Pi^3), 120); # Vaclav Kotesovec, Sep 16 2014

MATHEMATICA

RealDigits[ N[ Sqrt[6]/32/Pi^3*Gamma[1/24]*Gamma[5/24]*Gamma[7/24]*Gamma[11/24], 102]][[1]] (* Jean-Fran├žois Alcover, Nov 12 2012, after Eric W. Weisstein *)

PROG

(PARI) (sqrt(3)-1)*(gamma(1/24)*gamma(11/24))^2 / (32*Pi^3) \\ Altug Alkan, Apr 13 2016

(MAGMA) C<i> := ComplexField(); (Sqrt(3)-1)*(Gamma(1/24)*Gamma(11/24))^2/(32*Pi(C)^3) // G. C. Greubel, Jan 07 2018

CROSSREFS

Cf. A273086.

Sequence in context: A180595 A088401 A077491 * A201419 A163336 A173898

Adjacent sequences:  A086228 A086229 A086230 * A086232 A086233 A086234

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jul 12 2003

STATUS

approved

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Last modified June 25 04:06 EDT 2019. Contains 324345 sequences. (Running on oeis4.)