OFFSET
1,1
COMMENTS
Least k such that Pochhammer(k, n) > n^n. - Ryan Propper, Sep 06 2005
LINKS
Eric Weisstein's World of Mathematics, Pochhammer Symbol.
FORMULA
Limit_{n->oo} a(n)/n = A090462. - Ryan Propper, Sep 06 2005
EXAMPLE
a(4) = 3: 2*3*4*5 = 120 < 256 = 4^4 < 3*4*5*6 = 360.
MATHEMATICA
Do[k = 1; While[Pochhammer[k, n] <= n^n, k++ ]; Print[k], {n, 1, 100}] (* Ryan Propper, Sep 06 2005 *)
PROG
(PARI) b(n) = my(k=1); while(prod(i=k, k+n-1, i) <= n^n, k++); k; \\ Michel Marcus, Mar 08 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Aug 16 2005
EXTENSIONS
More terms from Ryan Propper, Sep 06 2005
STATUS
approved