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A071637 Largest exponent k >=0 such that (n+1)^k divides n!. 0
0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 4, 0, 1, 2, 2, 0, 3, 0, 3, 2, 1, 0, 6, 2, 1, 3, 3, 0, 6, 0, 5, 2, 1, 4, 7, 0, 1, 2, 8, 0, 5, 0, 3, 9, 1, 0, 10, 3, 5, 2, 3, 0, 7, 4, 8, 2, 1, 0, 13, 0, 1, 9, 9, 4, 5, 0, 3, 2, 10, 0, 16, 0, 1, 8, 3, 6, 5, 0, 18, 9, 1, 0, 12, 4, 1, 2, 7, 0, 20, 6, 3, 2, 1, 4, 17, 0, 7, 8, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

COMMENTS

a(A068499(n)) = 0.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

12^4 divides 11! (11!/12^4=1925) but 12^5 doesn't, hence a(11)=4.

MATHEMATICA

Table[IntegerExponent[n!, n+1], {n, 500}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)

PROG

(PARI) for(n=1, 150, s=0; while(n!%(n+1)^s==0, s++); print1(s-1, ", "))

CROSSREFS

A011776(n+1) - 1.

Sequence in context: A283675 A294653 A126222 * A141277 A198637 A179296

Adjacent sequences:  A071634 A071635 A071636 * A071638 A071639 A071640

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Jun 25 2002

STATUS

approved

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Last modified October 17 16:51 EDT 2019. Contains 328120 sequences. (Running on oeis4.)