A388698 - OEIS

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A388698

Decimal expansion of 8 * (2+sqrt(3)) * exp(-Pi).

1

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

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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} A186829(k) / exp(k*Pi).

EXAMPLE

1.29021230843621344399545859581930014525877119240191705846789974370252157524....

MATHEMATICA

First[RealDigits[8*(2 + Sqrt[3])*Exp[-Pi], 10, 100]]

PROG

(PARI) -3 * exp(-Pi) * gamma(2/3)^4 * gamma(7/12)^2 * (2+3^(1/2)) / (-2+3^(1/2)) / Pi^2 / gamma(11/12)^2

CROSSREFS

Sequence in context: A384987 A395148 A228249 * A011063 A021779 A201893

Adjacent sequences: A388695 A388696 A388697 * A388699 A388700 A388701

KEYWORD

nonn,cons,changed

AUTHOR

Simon Plouffe, Sep 18 2025

STATUS

approved