A340927 Decimal expansion of Product_{primes p == 3 (mod 5)} 1/(1 - 1/p^4).

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

Offset

1,4

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=3}(s=4).

Formula

Equals A340665^2 / A340711.

Equals 104*Pi^4 / (9375 * A340808 * A340926 * A340809).

Equals Sum_{k>=1} 1/A004617(k)^4. - Amiram Eldar, Jan 28 2021

Example

1.012539571644935903522100272691152140478362802787749854800134772695303...

Crossrefs

Cf. A340808, A340809, A340926.

Cf. A340004, A340794, A340665, A340127.

Cf. A340629, A340710, A340711, A340628.

Sequence in context: A026219 A122281 A363677 * A182480 A193974 A319499

Adjacent sequences: A340924 A340925 A340926 * A340928 A340929 A340930

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jan 27 2021

Status

approved