A306620 Decimal expansion of a constant related to the asymptotics of A324437.

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

Offset

0,1

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..158

Formula

Equals limit_{n->oo} A324437(n) / (2^(n*(n+1)) * exp(Pi*n*(n+1)/sqrt(2) - 6*n^2) * (1 + sqrt(2))^(sqrt(2)*n*(n+1)) * n^(4*n^2 - 1)).

Equals limit_{n->oo} n*(Product_{i=1..n, j=1..n} ((i/n)^4 + (j/n)^4)) / exp(6*n + n*(n+1)*Integral_{x=0..1, y=0..1} log(x^4 + y^4) dy dx). - Vaclav Kotesovec, Dec 04 2023

Example

0.234515844514042792818071433175005186606962939449610395532458236836610994170253...

Crossrefs

Cf. A324437, A367834.

Sequence in context: A355008 A050269 A097151 * A071500 A071516 A279477

Adjacent sequences: A306617 A306618 A306619 * A306621 A306622 A306623

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 01 2019

Status

approved