A050342 - OEIS

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A050342

G.f.: Product_{m>=1} (1+x^m)^A000009(m).

1, 1, 1, 3, 4, 7, 12, 19, 30, 49, 77, 119, 186, 286, 438, 670, 1014, 1528, 2300, 3437, 5119, 7603, 11241, 16564, 24343, 35650, 52058, 75820, 110115, 159510, 230522, 332324, 477994, 686044, 982519, 1404243, 2003063, 2851720, 4052429, 5748440 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Number of partitions of n into distinct parts with one level of parentheses. Each "part" in parentheses is distinct from all others at the same level. Thus (2+1)+(1) is allowed but (2)+(1+1) and (2+1+1) are not.`
	LINKS	`N. J. A. Sloane, Transforms`
	FORMULA	`Weigh transform of A000009.`
	EXAMPLE	`4=(4)=(3)+(1)=(3+1)=(2+1)+(1).`
	CROSSREFS	`Cf. A050343-A050350, A089254.` `Sequence in context: A158237 A117950 A025047 * A108700 A062202 A049859` `Adjacent sequences: A050339 A050340 A050341 * A050343 A050344 A050345`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Oct 15 1999.`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.