A066815 - OEIS

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A066815

Number of partitions of n into sums of products.

1, 1, 2, 3, 6, 8, 14, 19, 33, 45, 69, 94, 148, 197, 289, 390, 575, 762, 1086, 1439, 2040, 2687, 3712, 4874, 6749, 8792, 11918, 15526, 20998, 27164, 36277, 46820, 62367, 80146, 105569, 135326, 177979, 227139, 296027, 377142, 490554, 622526, 804158 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	FORMULA	`G.f.: Product_{k>=1} 1/(1-A001055(k)x^k).` `a(n)=1/nSum_{k=1..n} a(n-k)b(k), n > 0, a(0)=1, b(k)=Sum_{d\|k} d(A001055(d))^(k/d).`
	CROSSREFS	`Cf. A000041, A001055, A066739.` `Sequence in context: A089426 A167934 A066739 * A106182 A097097 A206370` `Adjacent sequences: A066812 A066813 A066814 * A066816 A066817 A066818`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 20 2002`
	EXTENSIONS	`Renamed by T. D. Noe, May 24 2011`

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.