A372777 - OEIS

A372777

Decimal expansion of (4 + 5*sqrt(2))/17.

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..85.

FORMULA

(4 + 5*sqrt(2))/17 = Sum_{k>=0} sin(k*Pi)/2^k.

EXAMPLE

0.65123928305091030847108491888520531722637408099322002...

MATHEMATICA

s = Sum[Sin[k Pi/4]/2^k, {k, 0, Infinity}]

d = N[s, 100]