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A065485 Decimal expansion of Murata's constant product(1 + 1/(p-1)^2), p prime >= 2). 2
2, 8, 2, 6, 4, 1, 9, 9, 9, 7, 0, 6, 7, 5, 9, 1, 5, 7, 5, 5, 4, 6, 3, 9, 1, 7, 4, 7, 2, 3, 6, 9, 5, 3, 7, 4, 9, 0, 1, 3, 0, 4, 1, 1, 0, 5, 4, 5, 9, 2, 6, 6, 8, 7, 6, 1, 7, 9, 7, 4, 5, 8, 3, 4, 5, 3, 0, 7, 5, 7, 6, 2, 4, 4, 5, 9, 7, 6, 2, 4, 0, 5, 5, 3, 3, 4, 5, 8, 6, 6, 4, 9, 8, 8, 1, 8, 4, 4, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..99.

G. Niklasch, Some number theoretical constants: 1000-digit values [Cached copy]

Eric Weisstein's World of Mathematics, Murata's Constant

Eric Weisstein's World of Mathematics, Prime Products

EXAMPLE

2.8264199970675915755463917472369537490...

MATHEMATICA

digits = 99; terms = 1000; $MaxExtraPrecision = 500; r[n_Integer] := 2 - (1-I)^(n+1) - (1+I)^(n+1); NSum[r[n-1]*PrimeZetaP[n]/n, {n, 2, terms}, NSumTerms -> terms, WorkingPrecision -> digits+10] // Exp // RealDigits[ #, 10, digits]& // First (* Jean-Fran├žois Alcover, Apr 16 2016 *)

CROSSREFS

Cf. A078072.

Sequence in context: A203022 A224196 A141449 * A229939 A237889 A064912

Adjacent sequences:  A065482 A065483 A065484 * A065486 A065487 A065488

KEYWORD

cons,nonn

AUTHOR

N. J. A. Sloane, Nov 19 2001; edited Sep 16 2007 at the suggestion of R. J. Mathar

STATUS

approved

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Last modified December 6 15:01 EST 2016. Contains 278781 sequences.