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A137986
Decimal expansion of the number whose Pierce expansion has the sequence of factorial numbers (A000142) as coefficients.
8
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
OFFSET
0,1
LINKS
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
KEYWORD
easy,nonn,cons
AUTHOR
STATUS
approved