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A100685
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Powers of factorials A000142.
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2
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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
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OFFSET
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1,2
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COMMENTS
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Subsequence of A001013. Supersequence of A036740 without its first term.
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LINKS
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FORMULA
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EXAMPLE
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24 = (4!)^1 and 36 = (3!)^2.
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MATHEMATICA
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With[{ln = Log[10!]}, Table[With[{f = m!}, Table[f^j, {j, 0, Floor[ln/Log[f]]}]], {m, 2, 10}]] //Flatten //Union
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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