A388368 Decimal expansion of 128 * exp(-7*Pi/8) * 2^(7/8) * Gamma(3/4)^21 / Pi^(21/4).

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

Offset

1,1

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} A023019(k) / exp(k*Pi).

Example

2.6345398963774958491579351068660587907...

Mathematica

First[RealDigits[(128*2^(7/8)*Exp[(-7*Pi)/8]*Gamma[3/4]^21)/Pi^(21/4), 10, 100]]

Prog

(PARI) 128 * exp(-7/8 * Pi) * 2^(7/8) * gamma(3/4)^21 / Pi^(21/4)

Crossrefs

Cf. A023019.

Sequence in context: A299160 A123733 A261069 * A236557 A359243 A379387

Adjacent sequences: A388365 A388366 A388367 * A388369 A388370 A388371

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved