id:A081039 - OEIS Search Results

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4th binomial transform of (1,3,0,0,0,0,0,.....).

+0
3

1, 7, 40, 208, 1024, 4864, 22528, 102400, 458752, 2031616, 8912896, 38797312, 167772160, 721420288, 3087007744, 13153337344, 55834574848, 236223201280, 996432412672, 4191888080896, 17592186044416, 73667279060992 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=8a(n-1)-16a(n-2), a(0)=1, a(1)=7 a(n)=(3n+4)4^(n-1) a(n)= Sum {k=0..n, (k+1)*3^k Binomial(n, k)} G.f.: (1-x)/(1-4x)^2`
	CROSSREFS	`Cf. A081038, A081040.` `Sequence in context: A096200 A055282 A093737 this_sequence A083327 A026716 A026782` `Adjacent sequences: A081036 A081037 A081038 this_sequence A081040 A081041 A081042`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 03 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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