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%I #9 Apr 11 2022 15:28:05
%S 0,1,2,2,3,4,4,5,6,6,7,8,8,9,10,11,11,12,13,13,14,15,16,16,17,18,18,
%T 19,20,21,21,22,23,24,24,25,26,27,27,28,29,30,30,31,32,33,33,34,35,36,
%U 37,37,38,39,40,40,41,42,43,43,44,45,46,47,47,48,49,50,50,51,52,53,53,54
%N a(n) = smallest k such that (n+1)(n+2)...(n+k) >= n!.
%C Is this sequence the same as A094331? - _David Wasserman_, Jan 16 2005
%H Michael S. Branicky, <a href="/A075357/b075357.txt">Table of n, a(n) for n = 1..10000</a>
%o (PARI) a(n) = my(k=0); while ((n+k)! < n!^2, k++); k; \\ _Michel Marcus_, Apr 11 2022
%o (Python)
%o from math import factorial
%o def a(n):
%o if n == 1: return 0
%o fn, k, p = factorial(n), 1, n+1
%o while fn > p: k += 1; p *= (n+k)
%o return k
%o print([a(n) for n in range(1, 75)]) # _Michael S. Branicky_, Apr 11 2022
%Y Cf. A075358.
%Y Cf. A094331.
%K nonn
%O 1,3
%A _Amarnath Murthy_, Sep 19 2002
%E More terms from _David Wasserman_, Jan 16 2005
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