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A092990 Least product of the partitions of n into two parts with maximal tau value: let n = a+b be a partition of n, then a(n) = a*b such that tau(a*b) is maximal. +0
2
1, 2, 4, 6, 8, 12, 12, 18, 24, 24, 36, 36, 48, 36, 60, 60, 72, 60, 84, 90, 120, 120, 144, 144, 120, 180, 180, 180, 216, 240, 240, 252, 240, 300, 180, 336, 360, 360, 336, 420, 360, 420, 420, 504, 360, 420, 540, 360, 504, 540, 420, 360, 720, 600, 720, 540, 840, 840 (list; graph; listen)
OFFSET

2,2

EXAMPLE

a(9) = 18 as 18 = 3 * 6 has 6 divisors. 20 = 4 * 5 also has 6 divisors, but 20 > 18.

CROSSREFS

Cf. A092991.

Cf. A000005.

Sequence in context: A099994 A068065 A028328 this_sequence A103829 A164530 A058817

Adjacent sequences: A092987 A092988 A092989 this_sequence A092991 A092992 A092993

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 28 2004

EXTENSIONS

Corrected and extended by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 14 2006

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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