A084903 - OEIS

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A084903

Binomial transform of positive cubes.

1, 9, 44, 170, 576, 1792, 5248, 14688, 39680, 104192, 267264, 672256, 1662976, 4055040, 9764864, 23257088, 54853632, 128253952, 297533440, 685375488, 1568669696, 3569352704, 8078229504, 18192793600, 40785412096, 91049951232 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n) = 2^(n-3)(n^3+9n^2+18n+8); a(n) = sum{k=0..n}, C(n, k)(1+k)^3.` `O.g.f.: (x-1)(2x^2-2x-1)/(-1+2x)^4. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008` `a(n) = A058649(n+1)/n. [From Gary Detlefs, Nov 26, 2011]`
	CROSSREFS	`Cf. A000578, A058645.` `Sequence in context: A036599 A059825 A074631 * A034558 A144109 A099867` `Adjacent sequences: A084900 A084901 A084902 * A084904 A084905 A084906`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 13 2003`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.