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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 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-François 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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