A388245 - OEIS

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A388245

Decimal expansion of exp(Pi / 8) / 2^(3/8).

1

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

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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.

Index entries for transcendental numbers.

FORMULA

Empirical: Equals Sum_{k>=0} A022568(k) / exp(k*Pi).

EXAMPLE

1.141986042281423210930688703390485032350....

MATHEMATICA

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

PROG

(PARI) (1/2) * exp(Pi / 8) * 2^(5/8)

CROSSREFS

Sequence in context: A256831 A010644 A137615 * A021990 A182545 A084887

Adjacent sequences: A388242 A388243 A388244 * A388246 A388247 A388248

KEYWORD

nonn,cons,changed

AUTHOR

Simon Plouffe, Sep 15 2025

STATUS

approved