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

Author

Vaclav Kotesovec, Mar 01 2019

Keywords

• nonn
• cons

Examples

			0.234515844514042792818071433175005186606962939449610395532458236836610994170253...
		

Links

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

Crossrefs

Cf. A324437, A367834.

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