A388393 - OEIS

A388393

Decimal expansion of sqrt(((2+sqrt(5)) * Pi) / 5) / Gamma(3/4)^2.

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

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OFFSET

1,3

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} A033718(k) / exp(k*Pi).

EXAMPLE

1.0864351386685138312950480426461157862...

MATHEMATICA

First[RealDigits[Sqrt[((2 + Sqrt[5])*Pi)/5]/Gamma[3/4]^2, 10, 100]]