A388743 Decimal expansion of Pi / (2^(1/4) * Gamma(3/4)^4).

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A207541(k) / exp(k*Pi).

Example

1.17154019019007384610586227855981841239873890364124455980024458736297906292....

Mathematica

First[RealDigits[Pi/(2^(1/4)*Gamma[3/4]^4), 10, 100]]

Prog

(PARI) (1/2) * Pi * 2^(3/4) / gamma(3/4)^4

Crossrefs

Cf. A207541.

Sequence in context: A398126 A021587 A195496 * A065479 A263202 A011478

Adjacent sequences: A388740 A388741 A388742 * A388744 A388745 A388746

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved