A388226 Decimal expansion of (1/1024) * exp(13*Pi/12) * Pi^(13/2) * 2^(1/4) / Gamma(3/4)^26.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A010831(k) / exp(k*Pi).

Example

0.30138901252060719776842080168228382383...

Mathematica

First[RealDigits[Exp[13*Pi/12]*Pi^(13/2)*2^(1/4)/(1024*Gamma[3/4]^26), 10, 100]] (* Paolo Xausa, Sep 16 2025 *)

Prog

(PARI) (1/1024) * exp(13/12 * Pi) * Pi^(13/2) * 2^(1/4) / gamma(3/4)^26

Crossrefs

Cf. A010831.

Sequence in context: A248949 A325673 A083857 * A353077 A115142 A346203

Adjacent sequences: A388223 A388224 A388225 * A388227 A388228 A388229

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved