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A060067 Largest power of n which divides n!. 1
1, 2, 3, 4, 5, 36, 7, 64, 81, 100, 11, 248832, 13, 196, 3375, 4096, 17, 104976, 19, 160000, 9261, 484, 23, 4586471424, 15625, 676, 531441, 614656, 29, 21870000000, 31, 1073741824, 35937, 1156, 52521875, 2821109907456, 37, 1444, 59319 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..39.

FORMULA

a(n) = n^A011776(n) = A000142(n)/A060068(n)

EXAMPLE

a(12) = 248832 since 12! = 479001600 = 2^10*3^5*5^2*7*11 and 12 = 2^2*3 so a(n) = 12^5 = 248832

MATHEMATICA

Join[{1}, Table[n^IntegerExponent[n!, n], {n, 2, 40}]] (* Harvey P. Dale, May 06 2018 *)

CROSSREFS

Sequence in context: A306329 A274029 A056925 * A043310 A171578 A044907

Adjacent sequences:  A060064 A060065 A060066 * A060068 A060069 A060070

KEYWORD

nonn

AUTHOR

Henry Bottomley, Feb 19 2001

STATUS

approved

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)