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A092979 Least k such that (n+1)*(n+2)*...*(k-1)*k >= n!. 1

%I #6 Nov 18 2018 01:12:55

%S 2,3,5,6,8,10,11,13,15,16,18,20,21,23,25,27,28,30,32,33,35,37,39,40,

%T 42,44,45,47,49,51,52,54,56,58,59,61,63,65,66,68,70,72,73,75,77,79,80,

%U 82,84,86,88,89,91,93,95,96,98,100,102,103,105,107,109,111,112,114,116,118

%N Least k such that (n+1)*(n+2)*...*(k-1)*k >= n!.

%e a(7) = 11 as 8 < 7!, 8*9 < 7!, 8*9*10 < 7! but 8*9*10*11 = 7920 > 7! = 5040.

%t Do[k = n + 1; s = k; While[s < n!, k++; s = s * k]; Print[k], {n, 1, 30}] (* _Ryan Propper_ *)

%Y Cf. A092980.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Mar 27 2004

%E More terms from _William Rex Marshall_, Jun 22 2005

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)