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First nonzero digit in decimal expansion in (e^n)/n!.
1

%I #12 Apr 29 2024 12:37:05

%S 1,2,3,3,2,1,5,2,7,2,6,1,3,7,1,2,4,6,1,1,1,2,3,3,4,4,4,4,4,4,4,3,3,2,

%T 1,1,1,8,6,4,2,1,1,7,4,2,1,9,5,3,1,9,4,2,1,6,2,1,6,3,1,6,2,1,4,2,8,3,

%U 1,5

%N First nonzero digit in decimal expansion in (e^n)/n!.

%C Occurrence of seven 4's starting at a(24) is of special interest.

%H Paolo Xausa, <a href="/A156613/b156613.txt">Table of n, a(n) for n = 0..10000</a>

%e (e^2)/(2!) = 3.69452804..., so a(2) = 3.

%t Table[RealDigits[(E^n)/n!, 10, 1][[1, 1]], {n, 0, 100}] (* _Paolo Xausa_, Apr 29 2024 *)

%Y Cf. A000142, A001113.

%K nonn,base

%O 0,2

%A Avik Roy (avik_3.1416(AT)yahoo.co.in), Feb 11 2009