A065977 Numbers k that divide the number formed by the first k decimal digits of e (A039920(k)).

1, 9, 13, 15, 220, 1610, 1822, 4879, 61992, 124838, 604739, 771780, 802771, 915973, 918868, 2722883, 3466893

Offset

1,2

Links

Table of n, a(n) for n=1..17.

Mathematica

d = Drop[ First[ RealDigits[E, 10, 10^5 +1]], 1]; Do[ If[ IntegerQ[ FromDigits[Take[d, n]]/n], Print[n]], {n, 1, 65240} ]

Prog

(Python)
from sympy import E
digits_of_e = str(E.n(13*10**4))[2:] # or load data from file
def afind():
    kint = 0
    for k in range(1, len(digits_of_e)):
        kint *= 10
        kint += int(digits_of_e[k-1])
        if kint%k == 0: print(k, end=", ")
afind() # Michael S. Branicky, Dec 28 2022

Crossrefs

Cf. A039920.

Sequence in context: A205851 A294406 A049733 * A294999 A153051 A106636

Adjacent sequences: A065974 A065975 A065976 * A065978 A065979 A065980

Keyword

nonn,base,more

Author

Jason Earls, Dec 09 2001

Extensions

a(9) from Robert G. Wilson v, Dec 10 2001

a(10)-a(17) from Michael S. Branicky, Dec 28 2022

Status

approved