A324569 Decimal expansion of a constant related to the asymptotics of A306729.

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

Offset

2,1

Links

Table of n, a(n) for n=2..107.

Formula

Equals limit_{n->infinity} A306729(n) / (2^(n^2/2 + 2*n) * Pi^(n^2/2 + n) * n^(2*n^3/3 + 2*n^2 + 11*n/6 + 5/2) / exp(8*n^3/9 + 2*n^2 + n)).

Example

62.1439869233452902554897454173576677846319822074934951858905026159618...

Crossrefs

Cf. A306729.

Sequence in context: A306764 A101607 A039508 * A224518 A363684 A265986

Adjacent sequences: A324566 A324567 A324568 * A324570 A324571 A324572

Keyword

nonn,cons

Author

Vaclav Kotesovec, Mar 07 2019

Status

approved