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%I #18 Dec 29 2022 09:13:53
%S 1,9,13,15,220,1610,1822,4879,61992,124838,604739,771780,802771,
%T 915973,918868,2722883,3466893
%N Numbers k that divide the number formed by the first k decimal digits of e (A039920(k)).
%t d = Drop[ First[ RealDigits[E, 10, 10^5 +1]], 1]; Do[ If[ IntegerQ[ FromDigits[Take[d, n]]/n], Print[n]], {n, 1, 65240} ]
%o (Python)
%o from sympy import E
%o digits_of_e = str(E.n(13*10**4))[2:] # or load data from file
%o def afind():
%o kint = 0
%o for k in range(1, len(digits_of_e)):
%o kint *= 10
%o kint += int(digits_of_e[k-1])
%o if kint%k == 0: print(k, end=", ")
%o afind() # _Michael S. Branicky_, Dec 28 2022
%Y Cf. A039920.
%K nonn,base,more
%O 1,2
%A _Jason Earls_, Dec 09 2001
%E a(9) from _Robert G. Wilson v_, Dec 10 2001
%E a(10)-a(17) from _Michael S. Branicky_, Dec 28 2022