id:A107233 - OEIS Search Results

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An inverse Chebyshev transform of n^3.

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0, 1, 8, 30, 96, 270, 720, 1820, 4480, 10710, 25200, 58212, 133056, 300300, 672672, 1492920, 3294720, 7220070, 15752880, 34179860, 73902400, 159074916, 341429088, 730122120, 1557593856, 3312591100, 7030805600, 14883258600, 31451414400 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Image of n^3 under the mapping of g(x)->(1/sqrt(1-4x^2))g(xc(x^2)) where c(x) is the g.f. of A000108.`
	FORMULA	`G.f.: 4x(sqrt(1-4x^2)-1)^2(4x+1)/(sqrt(1-4x^2)(sqrt(1-4x^2)+2x-1)^4); a(n)=sum{k=0..floor(n/2), binomial(n, k)(n-2k)^3};`
	CROSSREFS	`Cf. A100071, A001787.` `Sequence in context: A002417 A126858 A113751 this_sequence A098213 A163613 A050477` `Adjacent sequences: A107230 A107231 A107232 this_sequence A107234 A107235 A107236`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 13 2005`

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.

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