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 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. 1
 3, 13, 313, 313, 40313, 940313, 940313, 20940313, 420940313, 420940313, 20420940313, 920420940313, 8920420940313, 28920420940313, 528920420940313, 6528920420940313, 36528920420940313, 336528920420940313, 2336528920420940313, 42336528920420940313 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 23 17:42 EDT 2023. Contains 365554 sequences. (Running on oeis4.)