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A306243 Decimal expansion of Sum_{n>=2} log(n)/n!. 1
6, 0, 3, 7, 8, 2, 8, 6, 2, 7, 9, 1, 4, 8, 7, 9, 8, 8, 4, 1, 6, 1, 8, 3, 8, 1, 0, 9, 8, 2, 4, 5, 0, 5, 4, 8, 3, 0, 4, 1, 7, 0, 1, 5, 3, 1, 6, 4, 9, 9, 1, 0, 2, 1, 7, 7, 2, 4, 1, 3, 2, 1, 1, 3, 8, 2, 2, 7, 2, 2, 8, 4, 1, 0, 0, 5, 2, 5, 5, 6, 9, 4, 7, 8, 2, 1, 3, 7, 5, 0, 2, 4, 6, 4, 9, 7, 1, 0, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Equal to log(exp(1/2*log(2*exp(1/3*log(3*exp(1/4*log(4*exp(...)))))))).

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

0.6037828627914879884...

MATHEMATICA

NSum[Log[n]/n!, {n, 2, Infinity}, WorkingPrecision -> 110,

  NSumTerms -> 100] // RealDigits[#, 10, 100] &

PROG

(PARI) suminf(n=2, log(n)/n!) \\ Michel Marcus, Jan 31 2019

CROSSREFS

Cf. A193424.

Sequence in context: A021998 A289487 A217708 * A173685 A019108 A019115

Adjacent sequences:  A306240 A306241 A306242 * A306244 A306245 A306246

KEYWORD

nonn,cons

AUTHOR

Rok Cestnik, Jan 31 2019

STATUS

approved

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Last modified December 7 09:33 EST 2019. Contains 329843 sequences. (Running on oeis4.)