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A078087
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Continued fraction expansion of Product_{p prime} (1 - 1/(p^2*(p+1))).
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1
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0, 1, 7, 2, 3, 1, 1, 1, 7, 1, 1, 6, 1, 5, 1, 1, 3, 2, 1, 1, 3, 2, 1, 1, 1, 1, 13, 1, 16, 1, 1, 16, 1, 80, 1, 1, 1, 1, 7, 5, 1, 4, 1, 33, 3, 8, 1, 8, 1, 16, 11, 1, 2, 6, 1, 19, 1, 12, 5, 11, 1, 7, 5, 1, 1, 1, 2, 5, 1, 4, 1, 3, 4, 4, 4, 1, 11, 1, 2, 5, 4, 12, 3, 1, 4, 1, 3, 1, 168, 1, 4, 1, 1
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OFFSET
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1,3
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LINKS
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MATHEMATICA
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digits = 93;
$MaxExtraPrecision = 4 digits;
terms = 4 digits;
LR = Join[{0, 0, 0}, LinearRecurrence[{-2, -1, 1, 1}, {-3, 4, -5, 3}, terms + 10]];
r[n_Integer] := LR[[n]];
c = Exp[NSum[r[n] PrimeZetaP[n - 1]/(n - 1), {n, 4, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]];
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PROG
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(PARI) contfrac(prodeulerrat(1 - 1/(p^2*(p+1)))) \\ Amiram Eldar, Mar 14 2021
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CROSSREFS
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KEYWORD
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nonn,cofr
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AUTHOR
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STATUS
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approved
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