A372778 - OEIS

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A372778

Decimal expansion of (4 + 5*sqrt(2))/15.

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

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OFFSET

0,1

LINKS

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

FORMULA

Equals Sum_{k>=0} |sin(k*Pi/4)|/2^k.

EXAMPLE

0.738071187457698349600562908069899359523223958458...

MATHEMATICA

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

d = N[s, 100]