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A372389
Decimal expansion of Sum_{k>=0} (-1)^k*(k+2) / (2k+1)!.
1
1, 5, 3, 2, 3, 5, 7, 6, 3, 0, 1, 4, 5, 9, 1, 4, 6, 1, 8, 6, 7, 9, 2, 2, 1, 7, 8, 6, 1, 6, 6, 9, 3, 6, 8, 0, 1, 2, 9, 9, 9, 9, 9, 8, 0, 1, 5, 0, 6, 5, 1, 7, 7, 1, 2, 3, 4, 4, 1, 7, 6, 1, 9, 2, 6, 7, 8, 4, 1, 5, 8, 0, 3, 9, 7, 4, 0, 9, 5, 3, 8, 5, 6, 8, 1, 9
OFFSET
1,2
FORMULA
Equals (cos(1) + 3*sin(1))/2.
Equals 2* 1F2(3;3/2,2;-1/4). - R. J. Mathar, Aug 02 2024
EXAMPLE
1.532357630145914618679221786166936801299999801506...
MATHEMATICA
s = Sum[(-1)^k (k + 2)/(2 k + 1)!, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
CROSSREFS
Cf. A372388.
Sequence in context: A249574 A090125 A363883 * A040022 A165100 A351061
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, May 12 2024
STATUS
approved