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URL: https://oeis.org/A388434

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A388434

Decimal expansion of (3/16) * exp(Pi / 2) * Pi^2 * sqrt(2) / Gamma(3/4)^8.

1

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

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OFFSET

1,1

LINKS

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

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

FORMULA

Empirical: Equals Sum_{k>=0} A045823(k) / exp(k*Pi).

EXAMPLE

2.4759041532440879794655110099974381692...

MATHEMATICA

First[RealDigits[(3*Pi^2*Exp[Pi/2])/(8*Sqrt[2]*Gamma[3/4]^8), 10, 100]]

PROG

(PARI) (3/16) * exp(Pi / 2) * Pi^2 * sqrt(2) / gamma(3/4)^8

CROSSREFS

Sequence in context: A035311 A182310 A244591 * A377351 A299324 A261076

Adjacent sequences: A388431 A388432 A388433 * A388435 A388436 A388437

KEYWORD

nonn,cons

AUTHOR

Simon Plouffe, Sep 15 2025

STATUS

approved