A372340 Decimal expansion of Sum_{k>=0} k /((k+1)*(2k)!).

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

Offset: 0

Author

Clark Kimberling, May 01 2024

Keywords

• nonn
• cons

Examples

			0.278839517158128421668953161079983417493...
		

Crossrefs

Cf. A371745, A372339.

Programs

Mathematica

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

Formula

Equals -2 + 3 cosh(1) - 2 sinh(1).

Equals 1F2(2; 3/2,3; 1/4)/4. - R. J. Mathar, Aug 02 2024