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A335762 Decimal expansion of Product_{p prime} (1 + p/((p-1)*(p+1)^2)). 3
1, 4, 5, 0, 0, 3, 2, 1, 4, 5, 3, 6, 2, 1, 2, 0, 8, 3, 1, 6, 0, 8, 3, 9, 5, 8, 8, 7, 1, 8, 9, 2, 2, 3, 4, 2, 2, 3, 2, 5, 0, 6, 2, 1, 1, 7, 4, 4, 7, 1, 6, 7, 1, 4, 4, 6, 5, 2, 4, 3, 8, 8, 3, 6, 7, 0, 9, 4, 1, 6, 3, 3, 7, 2, 9, 3, 8, 0, 8, 3, 0, 7, 6, 8, 1, 3, 5, 8, 7, 0, 3, 6, 5, 5, 6, 3, 9, 1, 4, 6, 5, 5, 8, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Equals Sum_{k>=1} 1/A000082(k) = Sum_{k>=1} 1/(k * A001615(k)).

EXAMPLE

1.450032145362120831608395887189223422325062117447167...

MATHEMATICA

$MaxExtraPrecision = 1000; m = 1000; c = LinearRecurrence[{-1, 1, 2, 0, -1}, {0, 2, -3, 6, -5}, m]; RealDigits[Exp[NSum[Indexed[c, n]*(PrimeZetaP[n])/n, {n, 2, m}, NSumTerms -> m, WorkingPrecision -> m]], 10, 100][[1]]

PROG

(PARI) prodeulerrat(1 + p/((p-1)*(p+1)^2)) \\ Amiram Eldar, Mar 18 2021

CROSSREFS

Cf. A000082, A001615, A065484.

Sequence in context: A024247 A067445 A167003 * A254294 A143574 A262400

Adjacent sequences: A335759 A335760 A335761 * A335763 A335764 A335765

KEYWORD

nonn,cons

AUTHOR

Amiram Eldar, Jun 21 2020

EXTENSIONS

More digits from Vaclav Kotesovec, Sep 19 2020

STATUS

approved

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Last modified December 6 08:36 EST 2022. Contains 358605 sequences. (Running on oeis4.)