id:A134594 - OEIS Search Results

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

+0
2

5, 16, 29, 44, 61, 80, 101, 124, 149, 176, 205, 236, 269, 304, 341, 380, 421, 464, 509, 556, 605, 656, 709, 764, 821, 880, 941, 1004, 1069, 1136, 1205, 1276, 1349, 1424, 1501, 1580, 1661, 1744, 1829, 1916, 2005, 2096, 2189, 2284, 2381, 2480, 2581, 2684 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`(1+Sqrt[n])^5=(5n^2 + 10n + 1) + (n^2 + 10n + 5)Sqrt[n]. For coefficients by rational part see A134593.`
	FORMULA	`a(n)=((1+Sqrt[n])^5-(5n^2 + 10n + 1)Sqrt[n])/Sqrt[n]` `G.f.: (1+x)(4x-5)/(x-1)^3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007`
	MATHEMATICA	`Table[(n^2 + 10n + 5), {n, 0, 50}]`
	CROSSREFS	`Cf. A134593.` `Adjacent sequences: A134591 A134592 A134593 this_sequence A134595 A134596 A134597` `Sequence in context: A063135 A030573 A063290 this_sequence A063076 A132479 A045944`
	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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