A330594 Decimal expansion of Product_{primes p} (1 + 1/p^2 - 2/p^3).

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

Offset

1,4

Links

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

Example

1.106960111953217676651179130007439592949548833658122419043134044978777...

Mathematica

Do[Print[N[Exp[-Sum[q = Expand[(-p^2 + 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}]

Prog

(PARI) prodeulerrat(1 + 1/p^2 - 2/p^3) \\ Amiram Eldar, Mar 16 2021

Crossrefs

Cf. A065464, A065473, A065476, A208133, A328017, A330595, A330596.

Sequence in context: A121821 A021859 A336908 * A371534 A196462 A242814

Adjacent sequences: A330591 A330592 A330593 * A330595 A330596 A330597

Keyword

nonn,cons

Author

Vaclav Kotesovec, Dec 19 2019

Status

approved