A193424 Decimal expansion of Sum_{n>=1} log(n+1)/n!.

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

Offset: 1

Author

N. J. A. Sloane, Aug 23 2011, based on a posting by Richard C. Schroeppel to the Math Fun Mailing List

Keywords

• nonn
• cons

Comments

Equal to log(2*exp(1/2*log(3*exp(1/3*log(4*exp(...)))))). - Rok Cestnik, Jan 31 2019

Examples

			1.55867043642538904...
		

Crossrefs

Cf. A306243.

Programs

Mathematica

NSum[ Log[n + 1]/n!, {n, 1, Infinity}, WorkingPrecision -> 110, NSumTerms -> 100] // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 20 2013 *)

PARI

suminf(n=1, log(n+1)/n!) \\ Michel Marcus, Jan 31 2019

Extensions

More terms from Alois P. Heinz, Aug 28 2011