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A330595 Decimal expansion of Product_{primes p} (1 + 1/p^2 + 1/p^3). 3

%I

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

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

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

%N Decimal expansion of Product_{primes p} (1 + 1/p^2 + 1/p^3).

%e 1.748932997843245303033906997685114802259883493595480897273662144084849...

%t Do[Print[N[Exp[-Sum[q = Expand[(-p^2 - p^3)^j]; Sum[PrimeZetaP[Exponent[q[[k]], p]] * Coefficient[q[[k]], p^Exponent[q[[k]], p]], {k, 1, Length[q]}]/j, {j, 1, t}]], 110]], {t, 20, 200, 20}]

%o (PARI) prodeulerrat(1 + 1/p^2 + 1/p^3) \\ _Vaclav Kotesovec_, Sep 19 2020

%Y Cf. A065464, A065473, A065476, A160889, A328017, A330594, A330596.

%K nonn,cons,changed

%O 1,2

%A _Vaclav Kotesovec_, Dec 19 2019

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Last modified September 22 14:26 EDT 2020. Contains 337291 sequences. (Running on oeis4.)