id:A109588 - OEIS Search Results

Search: id:A109588

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n followed by n^2 followed by n^3.

+0
14

1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, 64, 5, 25, 125, 6, 36, 216, 7, 49, 343, 8, 64, 512, 9, 81, 729, 10, 100, 1000, 11, 121, 1331, 12, 144, 1728, 13, 169, 2197, 14, 196, 2744, 15, 225, 3375, 16, 256, 4096, 17, 289, 4913, 18, 324, 5832, 19, 361, 6859, 20, 400, 8000 (list; graph; listen)

	OFFSET	`1,4`
	FORMULA	`a(n)= 4 a(n-3) -6 a(n-6) +4 a(n-9) -a(n-12). a(3k+1)=k. a(3k+2)=A000290(k+1). a(3k+3)=A000578(k+1). G.f.: x(1+x+x^2-2x^3+4x^5+x^6-x^7+x^8)/((x-1)^4(1+x+x^2)^4). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 30 2009]`
	MAPLE	`seq(seq(n^k, k=1..3), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2007`
	CROSSREFS	`Cf. A000463.` `Sequence in context: A101942 A050170 A087089 this_sequence A052331 A119436 A059884` `Adjacent sequences: A109585 A109586 A109587 this_sequence A109589 A109590 A109591`
	KEYWORD	`nonn`
	AUTHOR	`Mohammad K. Azarian (azarian(AT)evansville.edu), Aug 30 2005`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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