A372338 Decimal expansion of Sum_{k>=0} (k+2) / ((k+1)*(2k)!).

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

Offset

1,1

Links

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

Formula

Equals -4/e + 2 + 3*cosh(1) - 2*sinh(1).

Example

2.8073217524723591352868580804341...

Mathematica

s = Sum[(k + 2)/((k + 1) (2 k)!), {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]

Crossrefs

Cf. A073742, A073743, A372339.

Sequence in context: A242056 A195009 A337997 * A020860 A309420 A246725

Adjacent sequences: A372335 A372336 A372337 * A372339 A372340 A372341

Keyword

nonn,cons

Author

Clark Kimberling, Apr 28 2024

Status

approved