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A049439 Numbers n such that the number of odd divisors of n is an odd divisor of n. +0
9
1, 2, 4, 8, 9, 16, 18, 32, 36, 64, 72, 128, 144, 225, 256, 288, 441, 450, 512, 576, 625, 882, 900, 1024, 1089, 1152, 1250, 1521, 1764, 1800, 2025, 2048, 2178, 2304, 2500, 2601, 3042, 3249, 3528, 3600, 4050, 4096, 4356, 4608, 4761, 5000, 5202, 5625, 6084 (list; graph; listen)
OFFSET

1,2

COMMENT

Invented by the HR concept formation program.

a(n) = A000079(k)*A016754(m) for appropriate k, m. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 05 2008

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..1000

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

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

EXAMPLE

There are 3 odd divisors of 18, namely 1,3 and 9 and 3 itself is an odd divisor of 9.

CROSSREFS

Contains A000079 and A033950, Cf. A036896.

Sequence in context: A080025 A152111 A025611 this_sequence A079931 A055008 A046678

Adjacent sequences: A049436 A049437 A049438 this_sequence A049440 A049441 A049442

KEYWORD

nice,nonn

AUTHOR

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

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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