id:A165190 - OEIS Search Results

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G.f.: 1/((1-x^4)*(1-x^5)).

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1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6 (list; graph; listen)

	OFFSET	`0,21`
	COMMENT	`A121262 convolved with A079998. The two sequences have very simple generating functions and can be` `mapped to the numeric partitions 4=4 and 5=5 respectively.`
	LINKS	`Index to Molien series`
	FORMULA	`1 followed by the Euler transform of the finite sequence 0,0,0,1,1.` `G.f.: 1/((1-x)^2(1+x)(1+x^2)*(1+x+x^2+x^3+x^4)). [R. J. Mathar, Oct 07 2009]` `a(n) = A117444(n+2)/5 + n/20 +9/40 +(-1)^n/8 +A057077(n)/4. [R. J. Mathar, Oct 07 2009]`
	CROSSREFS	`Sequence in context: A050377 A001826 A003641 this_sequence A025890 A043277 A025864` `Adjacent sequences: A165187 A165188 A165189 this_sequence A165191 A165192 A165193`
	KEYWORD	`nonn,easy`
	AUTHOR	`Alford Arnold (Alford1940(AT)aol.com), Sep 24 2009`
	EXTENSIONS	`Removed duplicate of comment in A165188; Euler Xfm formula corrected - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 07 2009`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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