A045748 a(n) is the number consisting of the last n digits (although any leading 0's among those last n digits are omitted) of Sum_{j=1..k} j! for all sufficiently large k.

3, 13, 313, 313, 40313, 940313, 940313, 20940313, 420940313, 420940313, 20420940313, 920420940313, 8920420940313, 28920420940313, 528920420940313, 6528920420940313, 36528920420940313, 336528920420940313, 2336528920420940313, 42336528920420940313

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = (Sum_{k>=1} k!) mod 10^n. - Sean A. Irvine, Mar 19 2021

Example

Look at A007489, the partial sums of the factorials. The last digit stabilizes at 3, so a(1) = 3.  The last two digits stabilize at 13, so a(2) = 13. - N. J. A. Sloane, Mar 22 2021

Crossrefs

Cf. A007489, A082648.

Sequence in context: A128385 A100524 A000859 * A113526 A113612 A180654

Adjacent sequences: A045745 A045746 A045747 * A045749 A045750 A045751

Keyword

nonn,base

Author

Jeff Burch

Status

approved