A340926 Decimal expansion of Product_{primes p == 2 (mod 5)} 1/(1 - 1/p^4).

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

Offset

1,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..500

R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli, arXiv:1008.2547 [math.NT], 2010-2015, Zeta_{m=5,n=2}(s=4).

Formula

Equals A340794^2 / A340710.

Equals 104*Pi^4 / (9375 * A340808 * A340927 * A340809).

Equals Sum_{k>=1} 1/A004616(k)^4. - Amiram Eldar, Jan 28 2021

Example

1.067124761502234255634582163136137073885091716528006051500764099869277...

Crossrefs

Cf. A340808, A340809, A340927.

Cf. A340004, A340794, A340665, A340127.

Cf. A340629, A340710, A340711, A340628.

Sequence in context: A195430 A153269 A063471 * A356562 A011483 A319458

Adjacent sequences: A340923 A340924 A340925 * A340927 A340928 A340929

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jan 27 2021

Status

approved