cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A060067 Largest power of n which divides n!.

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%I A060067 #8 Mar 23 2020 09:45:32
%S A060067 1,2,3,4,5,36,7,64,81,100,11,248832,13,196,3375,4096,17,104976,19,
%T A060067 160000,9261,484,23,4586471424,15625,676,531441,614656,29,21870000000,
%U A060067 31,1073741824,35937,1156,52521875,2821109907456,37,1444,59319
%N A060067 Largest power of n which divides n!.
%F A060067 a(n) = n^A011776(n) = A000142(n)/A060068(n).
%e A060067 a(12) = 12^5 = 248832 since 12! = 479001600 = 2^10*3^5*5^2*7*11 and 12 = 2^2*3.
%t A060067 Join[{1},Table[n^IntegerExponent[n!,n],{n,2,40}]] (* _Harvey P. Dale_, May 06 2018 *)
%o A060067 (PARI) a(n) = if (n==1, 1, n^valuation(n!, n)); \\ _Michel Marcus_, Mar 23 2020
%Y A060067 Cf. A011776, A000142, A060068.
%K A060067 nonn
%O A060067 1,2
%A A060067 _Henry Bottomley_, Feb 19 2001