id:A132456 - OEIS Search Results

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Number of partitions of n into composite parts such that succeeding parts have a common prime factor.

+0
2

0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 4, 0, 4, 2, 7, 0, 9, 1, 12, 4, 14, 1, 23, 4, 24, 9, 35, 3, 46, 7, 56, 18, 68, 14, 99, 16, 107, 36, 145, 24, 186, 39, 219, 72, 270, 56, 361, 84, 408, 134, 514, 117, 655, 173, 761, 244, 926, 238, 1194, 312, 1347, 458, 1669, 458, 2073, 588, 2389 (list; graph; listen)

	OFFSET	`1,8`
	COMMENT	`a(n) <= A023895(n).`
	EXAMPLE	`a(19) = #{9+6+4} = 1, A023895(19) = #{15+4, 10+9, 9+6+4} = 3;` `a(20) = A023895(20) = 12;` `a(21) = #{21, 15+6, 12+9, 9+6+6} = 4, A023895(21) = 6;`
	CROSSREFS	`Sequence in context: A068076 A138498 A050319 this_sequence A080966 A023895 A070963` `Adjacent sequences: A132453 A132454 A132455 this_sequence A132457 A132458 A132459`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 22 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research