A388592 - OEIS

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A388592

Decimal expansion of 4 * (4+3 * sqrt(2)) * exp(-Pi).

1

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

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OFFSET

1,2

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} A131123(k) / exp(k*Pi).

EXAMPLE

1.4247872037232652906358913917866409482...

MATHEMATICA

First[RealDigits[4*(4 + 3*Sqrt[2])*Exp[-Pi], 10, 100]]

PROG

(PARI) 2 * exp(-Pi) * sqrt(2) * (2+2^(1/2))^2

CROSSREFS

Sequence in context: A091007 A180156 A110638 * A154995 A154973 A388250

Adjacent sequences: A388589 A388590 A388591 * A388593 A388594 A388595

KEYWORD

nonn,cons,changed

AUTHOR

Simon Plouffe, Sep 18 2025

STATUS

approved