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A072697 Squarefree numbers such that the sum of the prime factors is a multiple of the number of prime factors. 4
2, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 29, 31, 33, 35, 37, 39, 41, 42, 43, 47, 51, 53, 55, 57, 59, 61, 65, 67, 69, 71, 73, 77, 78, 79, 83, 85, 87, 89, 91, 93, 95, 97, 101, 103, 105, 107, 109, 110, 111, 113, 114, 115, 119, 123, 127, 129, 131, 133, 137, 139, 141, 143 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

42=2*3*7: number of factors = 3 and sum of factors =2+3+7=12, as 12=4*3, 42 is a term: a(19)=42, A072698(19)=3, A072699(19)=12 and A072700(19)=4 contributes 1 count for A072701(4), as (2+3+7)/3=4.

CROSSREFS

Cf. A005117, A072700, A072701, A072698, A072699.

Sequence in context: A097312 A095179 A074895 * A090421 A102553 A069161

Adjacent sequences:  A072694 A072695 A072696 * A072698 A072699 A072700

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 04 2002

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Last modified February 14 06:58 EST 2012. Contains 205577 sequences.