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A100685 Powers of factorials A000142. +0
2
1, 2, 4, 6, 8, 16, 24, 32, 36, 64, 120, 128, 216, 256, 512, 576, 720, 1024, 1296, 2048, 4096, 5040, 7776, 8192, 13824, 14400, 16384, 32768, 40320, 46656, 65536, 131072, 262144, 279936, 331776, 362880, 518400, 524288, 1048576, 1679616, 1728000 (list; graph; listen)
OFFSET

1,2

COMMENT

Subsequence of A001013. Supersequence of A036740 without its first term.

Supersequence also of A046882 and A055209 without their first terms. - Jonathan Sondow and Robert G. Wilson v (jsondow(AT)alumni.princeton.edu), Dec 19 2004

LINKS

Index entries for sequences related to factorial numbers.

EXAMPLE

24=(4!)^1 and 36 = (3!)^2

MATHEMATICA

With[{ln=Log[10! ]}, Table[With[{f=m!}, Table[f^j, {j, 0, Floor[ln/Log[f]]}]], {m, 2, 10}]] //Flatten//Union

CROSSREFS

Cf. A000142, A001013, A036740.

Cf. also A046882 and A055209.

Sequence in context: A093109 A070034 A064408 this_sequence A068799 A100778 A122408

Adjacent sequences: A100682 A100683 A100684 this_sequence A100686 A100687 A100688

KEYWORD

easy,nonn

AUTHOR

Kyle Schalm and Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Dec 08 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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