id:A134593 - OEIS Search Results

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a(n)=5n^2 + 10n + 1 : coefficients of rational part of (1+Sqrt[n])^5.

+0
2

1, 16, 41, 76, 121, 176, 241, 316, 401, 496, 601, 716, 841, 976, 1121, 1276, 1441, 1616, 1801, 1996, 2201, 2416, 2641, 2876, 3121, 3376, 3641, 3916, 4201, 4496, 4801, 5116, 5441, 5776, 6121, 6476, 6841, 7216, 7601, 7996, 8401, 8816, 9241, 9676, 10121 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`(1+Sqrt[n])^5=(5n^2 + 10n + 1) + (n^2 + 10n + 5)Sqrt[n]. For coefficients by irrational part see A134594.`
	FORMULA	`a(n)=(1+Sqrt[n])^5-(n^2 + 10n + 5)Sqrt[n]` `G.f.: (4x^2-13x-1)/(x-1)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007`
	MATHEMATICA	`Table[(5n^2 + 10n + 1), {n, 0, 50}]`
	CROSSREFS	`Cf. A134593.` `Adjacent sequences: A134590 A134591 A134592 this_sequence A134594 A134595 A134596` `Sequence in context: A100958 A044093 A044474 this_sequence A088800 A051868 A069128`
	KEYWORD	`nonn`
	AUTHOR	`Artur Jasinski (grafix(AT)csl.pl), Nov 04 2007`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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