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A100685 Powers of factorials A000142. 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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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, Dec 19 2004

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..9660

Index entries for sequences related to factorial numbers.

FORMULA

Sum_{n>=1} 1/a(n) = 1 + A331373. - Amiram Eldar, Nov 21 2021

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, A331373.

Cf. also A046882 and A055209.

Subsequences: A000079, A000400, A009968.

Sequence in context: A329798 A064408 A316225 * A296993 A068799 A317306

Adjacent sequences:  A100682 A100683 A100684 * A100686 A100687 A100688

KEYWORD

easy,nonn,changed

AUTHOR

Kyle Schalm and Jonathan Sondow, Dec 08 2004

STATUS

approved

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Last modified November 30 05:12 EST 2021. Contains 349419 sequences. (Running on oeis4.)