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A060068
Divide n! by largest power of n which will leave the result an integer.
1
1, 1, 2, 6, 24, 20, 720, 630, 4480, 36288, 3628800, 1925, 479001600, 444787200, 387459072, 5108103000, 20922789888000, 60988928000, 6402373705728000, 15205637551104, 5516784599040000, 2322315553259520000, 1124000727777607680000, 135277939046250
OFFSET
1,3
FORMULA
a(n) = n!/n^A011776(n) = A000142(n)/A060067(n).
EXAMPLE
a(12) = 1925 since 12! = 479001600 and dividing repeatedly by 12 gives 39916800, 3326400, 277200, 23100, 1925, 160.416666..., ...
MATHEMATICA
Join[{1}, Table[n!/n^IntegerExponent[n!, n], {n, 2, 30}]] (* Harvey P. Dale, May 01 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Henry Bottomley, Feb 19 2001
EXTENSIONS
Offset corrected by Sean A. Irvine, Oct 23 2022
STATUS
approved