id:A027340 - OEIS Search Results

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Number of partitions of n that do not contain 6 as a part.

+0
1

1, 1, 2, 3, 5, 7, 10, 14, 20, 27, 37, 49, 66, 86, 113, 146, 189, 241, 308, 389, 492, 616, 771, 958, 1190, 1468, 1809, 2218, 2716, 3310, 4029, 4884, 5913, 7133, 8592, 10318, 12373, 14795, 17666, 21042, 25028, 29700, 35197, 41624, 49160, 57949, 68220 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1-x^6) Product_{m>0} 1/(1-x^m).`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, polcoeff((1-x^6)/eta(x+x*O(x^n)), n))`
	CROSSREFS	`a(n)=A000041(n)-A000041(n-6).` `Sequence in context: A035994 A036005 A104503 this_sequence A000701 A123975 A094984` `Adjacent sequences: A027337 A027338 A027339 this_sequence A027341 A027342 A027343`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`
	EXTENSIONS	`More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 10 2002`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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