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A036896 Odd refactorable numbers. +0
7
1, 9, 225, 441, 625, 1089, 1521, 2025, 2601, 3249, 4761, 5625, 6561, 7569, 8649, 12321, 15129, 16641, 19881, 25281, 31329, 33489, 35721, 40401, 45369, 47961, 50625, 56169, 62001, 71289, 84681, 91809, 95481, 99225, 103041, 106929, 114921 (list; graph; listen)
OFFSET

0,2

COMMENT

Odd refactorable numbers are always squares.

LINKS

S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.

S. Colton, HR - Automatic Theory Formation in Pure Mathematics

EXAMPLE

9 is refactorable because tau(9)=3 and 3 divides 9.

MATHEMATICA

Do[If[IntegerQ[n/DivisorSigma[0, n]], Print[n]], {n, 1, 100000, 2}]

CROSSREFS

Cf. A033950.

Adjacent sequences: A036893 A036894 A036895 this_sequence A036897 A036898 A036899

Sequence in context: A079913 A033632 A110260 this_sequence A120319 A057530 A014736

KEYWORD

nonn

AUTHOR

Simon Colton (simonco(AT)cs.york.ac.uk)

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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