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A132456 Number of partitions of n into composite parts such that succeeding parts have a common prime factor. 2
1, 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; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

a(n) <= A023895(n).

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

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: A307596 A240205 A050319 * A257873 A229817 A080966

Adjacent sequences:  A132453 A132454 A132455 * A132457 A132458 A132459

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 22 2007

STATUS

approved

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Last modified July 23 20:32 EDT 2019. Contains 325264 sequences. (Running on oeis4.)