A079459 Decimal expansion of constant C > 0 such that Sum_{k>=1} C^k! = 1.

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

Offset

0,1

Links

Table of n, a(n) for n=0..103.

Formula

C = 0.5974953925664336... .

Mathematica

digits = 105; Clear[f];
f[m_] := f[m] = Module[{s}, s[c_?NumericQ] := NSum[c^k!, {k, 1, m}, WorkingPrecision -> digits]; c /. FindRoot[s[c] == 1, {c, 1/2}, WorkingPrecision -> digits] // RealDigits // First];
f[1]; f[m = 2];
While[f[m] != f[m/2], m = 2 m; Print["m = ", m]];
f[m] (* Jean-François Alcover, Mar 10 2020 *)

Crossrefs

Sequence in context: A199607 A233382 A021630 * A118309 A100106 A349161

Adjacent sequences: A079456 A079457 A079458 * A079460 A079461 A079462

Keyword

cons,nonn

Author

Benoit Cloitre, Jan 12 2003

Status

approved