A116393 Decimal expansion of Product(1 - 1/(p+1)^3), p prime >= 2.

9, 4, 0, 3, 0, 0, 4, 1, 4, 5, 7, 0, 3, 4, 5, 0, 7, 0, 6, 1, 9, 4, 6, 5, 3, 8, 5, 3, 7, 3, 2, 3, 9, 4, 4, 9, 9, 9, 8, 5, 7, 4, 0, 1, 4, 3, 6, 9, 1, 3, 0, 0, 7, 2, 5, 7, 0, 3, 1, 3, 3, 8, 3, 0, 5, 9, 4, 7, 4, 6, 2, 1, 0, 4, 5, 5, 4, 5, 7, 8, 0, 1, 2, 6, 7, 0, 4

Offset

0,1

Comments

Calculated from A065465 * A065467^3 * X / A065466^2 where X = 1.03108637675008536... = product[ 1+ (4p^13 +13p^12 +10p^11 -3p^10 -9p^9 -12p^8 -9p^7 +6p^5 +4p^4 +2p^3 +p^2 -p -1) /(p^5+p^4-1)^3 / (p^3+p^2-1) / (p+1)] over prime p >=2. - R. J. Mathar, Sep 10 2007

Links

Table of n, a(n) for n=0..86.

Example

0.9403004...

Prog

(PARI) prodeulerrat(1 - 1/(p+1)^3) \\ Amiram Eldar, Nov 29 2020

Crossrefs

Cf. A065472.

Sequence in context: A193109 A242069 A197828 * A359285 A355283 A198111

Adjacent sequences: A116390 A116391 A116392 * A116394 A116395 A116396

Keyword

nonn,cons

Author

N. J. A. Sloane, Apr 15 2006

Extensions

More terms from John W. Layman and Zak Seidov, Apr 20 2006

More terms from R. J. Mathar, Sep 10 2007

More terms from Amiram Eldar, Nov 29 2020

Status

approved