A137986 - OEIS

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A137986

Decimal expansion of the number whose Pierce expansion has the sequence of factorial numbers (A000142) as coefficients.

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

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

OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Eric W. Weisstein, Pierce Expansion.

Eric W. Weisstein, Engel Expansion.

MAPLE

P:=proc(n) local a, i, k; a:=0; k:=1; for i from 0 by 1 to n do k:=k*i!; a:=a+(-1)^i/k; print(evalf(a, 100)); od; end: P(100);

MATHEMATICA

RealDigits[N[(Sum[(-1)^n*Product[1/((k - 1)!), {k, 1, n}], {n, 1, 250}]), 100]][[1]] (* G. C. Greubel, Jan 01 2017 *)

CROSSREFS