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A046952 Sets record for f(n) = |{(a,b):a*b=n and a|b}|. Also squares of highly composite numbers A002182. 2
1, 4, 16, 36, 144, 576, 1296, 2304, 3600, 14400, 32400, 57600, 129600, 518400, 705600, 1587600, 2822400, 6350400, 25401600, 57153600, 101606400, 228614400, 406425600, 635040000, 768398400, 2057529600, 2540160000, 3073593600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Invented by the HR automatic theory formation program.

LINKS

Table of n, a(n) for n=1..28.

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

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

EXAMPLE

f(1)=1, (first with 1), f(4)=2 (first with 2), f(16)=3 (first with 3),

CROSSREFS

Cf. A002182, A046951.

Sequence in context: A181795 A136404 A176471 * A081456 A223403 A130279

Adjacent sequences:  A046949 A046950 A046951 * A046953 A046954 A046955

KEYWORD

nice,nonn

AUTHOR

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

STATUS

approved

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Last modified April 16 18:34 EDT 2014. Contains 240627 sequences.