A193424 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

1.55867043642538904...

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A306243.

Sequence in context: A102729 A360909 A021183 * A141864 A245189 A217169

Adjacent sequences: A193421 A193422 A193423 * A193425 A193426 A193427

KEYWORD

nonn,cons

AUTHOR

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

EXTENSIONS

More terms from Alois P. Heinz, Aug 28 2011

STATUS

approved