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A065415 Decimal expansion of product(1-1/(p^4-p^3), p=prime). 7
8, 5, 6, 5, 4, 0, 4, 4, 4, 8, 5, 3, 5, 4, 2, 1, 7, 4, 4, 2, 6, 1, 6, 7, 9, 8, 4, 1, 3, 5, 9, 5, 3, 8, 8, 2, 1, 6, 6, 5, 7, 2, 8, 0, 0, 3, 1, 7, 6, 5, 2, 1, 4, 0, 3, 2, 5, 4, 8, 3, 2, 1, 6, 1, 6, 9, 4, 3, 1, 4, 4, 9, 8, 0, 3, 5, 9, 8, 9, 6, 3, 9, 2, 8, 3, 2, 3, 1, 1, 3, 0, 8, 2, 5, 9, 2, 0, 7, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..98.

R. J. Mathar, Hardy-Littlewood constants embedded into infinite products over all positive integers, arXiv:0903.2514, constant A_1^(3) table 3.

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

EXAMPLE

0.85654044485354217442616798413595388...

MATHEMATICA

digits = 99; $MaxExtraPrecision = 400; m0 = 1000; dm = 100; Clear[s]; LR = LinearRecurrence[{2, -1, 0, 1, -1}, {0, 0, 0, 4, 5, 6}, 2 m0]; r[n_Integer] := LR[[n]]; s[m_] := s[m] = NSum[-r[n] PrimeZetaP[n]/n, {n, 3, m}, NSumTerms -> m0, WorkingPrecision -> 400] // Exp; s[m0]; s[m = m0 + dm]; While[RealDigits[s[m], 10, digits][[1]] != RealDigits[s[m-dm], 10, digits][[1]], Print[m]; m = m+dm]; RealDigits[s[m], 10, digits][[1]] (* Jean-Fran├žois Alcover, Apr 15 2016 *)

CROSSREFS

Cf. A005596, A065414, A065416.

Sequence in context: A190412 A199615 A199059 * A154013 A230152 A099002

Adjacent sequences:  A065412 A065413 A065414 * A065416 A065417 A065418

KEYWORD

cons,nonn

AUTHOR

N. J. A. Sloane, Nov 15 2001

STATUS

approved

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Last modified August 21 00:45 EDT 2017. Contains 290855 sequences.