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A372778
Decimal expansion of (4 + 5*sqrt(2))/15.
2
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
OFFSET
0,1
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]
First[RealDigits[d]]
N[(1/15) (4 + 5 Sqrt[2]), 100]
CROSSREFS
Sequence in context: A166201 A248281 A111197 * A245645 A335994 A115411
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 07 2024
STATUS
approved