A327280 Decimal expansion of a constant related to A270913 and A327214.

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Formula

Equals limit_{n->infinity} A270913(n) * sqrt(n) / A270914^n.

Example

0.26054223314243846943386083216042248767690206039081630926302590102410375728962...

Mathematica

RealDigits[1/Sqrt[s*Pi*Derivative[0, 2][QPochhammer][-1, r*s]]/r /. FindRoot[{2*s == QPochhammer[-1, r*s], r*Derivative[0, 1][QPochhammer][-1, r*s] == 2}, {r, 1/2}, {s, 1/2}, WorkingPrecision -> 120], 10, 106][[1]] (* Vaclav Kotesovec, Oct 02 2023 *)

Crossrefs

Cf. A270913, A270914, A327214, A327279, A366018.

Sequence in context: A019967 A377764 A336082 * A350256 A345208 A241810

Adjacent sequences: A327277 A327278 A327279 * A327281 A327282 A327283

Keyword

nonn,cons

Author

Vaclav Kotesovec, Aug 28 2019

Status

approved