A372389 Decimal expansion of Sum_{k>=0} (-1)^k*(k+2) / (2k+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

Links

Table of n, a(n) for n=1..86.

Formula

Equals (cos(1) + 3*sin(1))/2.

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

Adjacent sequences: A372386 A372387 A372388 * A372390 A372391 A372392

Keyword

nonn,cons

Author

Clark Kimberling, May 12 2024

Status

approved