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

%I #15 Dec 29 2023 12:54:39

%S 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,

%T 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,

%U 4,6,2,1,0,4,5,5,4,5,7,8,0,1,2,6,7,0,4

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

%C 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

%e 0.9403004...

%o (PARI) prodeulerrat(1 - 1/(p+1)^3) \\ _Amiram Eldar_, Nov 29 2020

%Y Cf. A065472.

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Apr 15 2006

%E More terms from _John W. Layman_ and _Zak Seidov_, Apr 20 2006

%E More terms from _R. J. Mathar_, Sep 10 2007

%E More terms from _Amiram Eldar_, Nov 29 2020