id:A084903 - OEIS Search Results

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Binomial transform of positive cubes.

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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; listen)

	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`
	CROSSREFS	`Cf. A000578, A058645.` `Sequence in context: A036599 A059825 A074631 this_sequence A034558 A144109 A099867` `Adjacent sequences: A084900 A084901 A084902 this_sequence A084904 A084905 A084906`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 13 2003`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

AT&T Labs Research