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Search: id:A113853
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A113853 Numbers whose prime factors are raised to the powers of themselves. +0
1
108, 12500, 84375, 337500, 3294172, 22235661, 88942644, 2573571875, 10294287500, 69486440625, 277945762500, 1141246682444, 7703415106497, 30813660425988, 891598970659375, 1211500426369012, 3566395882637500 (list; graph; listen)
OFFSET

4,1

COMMENT

Does not include A000312: Number of labeled mappings from n points to themselves (endofunctions): n^n.

EXAMPLE

108 = 2^2*3^3. 2 is raised to the power of itself and 3 is raised to the power of itself.

MATHEMATICA

p = Drop[Subsets@Prime@Range@7, 8]; Take[ Sort[Times @@@ (p^p)], 18] (* Robert G. Wilson v *)

PROGRAM

(PARI) Manually in a Pari session.

CROSSREFS

Adjacent sequences: A113850 A113851 A113852 this_sequence A113854 A113855 A113856

Sequence in context: A054624 A143403 A132053 this_sequence A030248 A033535 A077728

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Jan 25 2006

EXTENSIONS

Corrected and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Jan 26 2006

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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