id:A027341 - OEIS Search Results

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Number of partitions of n that do not contain 7 as a part.

+0
1

1, 1, 2, 3, 5, 7, 11, 14, 21, 28, 39, 51, 70, 90, 120, 154, 201, 255, 329, 413, 526, 657, 826, 1024, 1278, 1573, 1946, 2383, 2926, 3563, 4349, 5267, 6391, 7707, 9300, 11165, 13412, 16033, 19173, 22836, 27195, 32273, 38291, 45284, 53538, 63119, 74373 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1-x^7) Product_{m>0} 1/(1-x^m).`
	PROGRAM	`(PARI) a(n)=if(n<0, 0, polcoeff((1-x^7)/eta(x+x*O(x^n)), n))`
	CROSSREFS	`a(n)=A000041(n)-A000041(n-7).` `Sequence in context: A035985 A035995 A036006 this_sequence A094252 A106532 A090693` `Adjacent sequences: A027338 A027339 A027340 this_sequence A027342 A027343 A027344`
	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 29 12:46 EST 2009. Contains 167659 sequences.

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