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A347932
Least m such that the first n digits (after the decimal point) of e and Sum_{k=0..m} 1/k! are the same.
0
4, 5, 6, 7, 9, 9, 10, 11, 12, 13, 14, 16, 16, 16, 17, 18, 19, 20, 20, 22, 22, 22, 23, 24, 24, 26, 26, 27, 28, 28, 29, 30, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 43, 44, 45, 45, 46, 46, 47, 48, 48, 49, 50, 50
OFFSET
1,1
MATHEMATICA
a[n_] := Module[{e = Floor[10^n*E], s = 0, k = 0}, While[Floor[10^n*s] != e, s += 1/k!; k++]; k - 1]; Array[a, 65] (* Amiram Eldar, Sep 20 2021 *)
CROSSREFS
Cf. A001113.
Sequence in context: A068521 A196697 A068318 * A242337 A201739 A329782
KEYWORD
nonn,base
AUTHOR
Angad Singh, Sep 20 2021
STATUS
approved