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A372830
Decimal expansion of (16 + 3*sqrt(2))/17.
1
1, 1, 9, 0, 7, 4, 3, 5, 6, 9, 8, 3, 0, 5, 4, 6, 1, 8, 5, 0, 8, 2, 6, 5, 0, 9, 5, 1, 3, 3, 1, 1, 2, 3, 1, 9, 0, 3, 3, 5, 8, 2, 4, 4, 4, 8, 5, 9, 5, 9, 3, 2, 0, 1, 2, 9, 1, 3, 5, 3, 1, 7, 1, 8, 4, 6, 8, 9, 5, 2, 7, 9, 0, 3, 1, 6, 8, 4, 2, 4, 1, 8, 6, 2, 0, 6
OFFSET
1,3
FORMULA
Equals Sum_{k>=0} cos(k*Pi/4)/2^k.
EXAMPLE
1.190743569830546185082650951331123190335824448595932...
MATHEMATICA
s = Sum[Cos[k Pi/4]/2^k, {k, 0, Infinity}]
d = N[s, 100]
u = First[RealDigits[d]]
N[1/17 (16 + 3 Sqrt[2]), 100]
CROSSREFS
Cf. A372777.
Sequence in context: A093766 A363368 A097674 * A309823 A196549 A173164
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jun 07 2024
STATUS
approved