id:A081040 - OEIS Search Results

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5th binomial transform of (1,4,0,0,0,0,....).

+0
4

1, 9, 65, 425, 2625, 15625, 90625, 515625, 2890625, 16015625, 87890625, 478515625, 2587890625, 13916015625, 74462890625, 396728515625, 2105712890625, 11138916015625, 58746337890625, 308990478515625, 1621246337890625 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=10a(n-1)-25a(n-2), a(0)=1, a(1)=9. a(n)=(4n+5)5^(n-1) a(n)= Sum {k=0..n, (k+1)*4^k Binomial(n, k)} G.f.: (1-x)/(1-5x)^2`
	CROSSREFS	`Cf. A081039, A081041.` `Sequence in context: A076287 A020299 A055284 this_sequence A102902 A127534 A037548` `Adjacent sequences: A081037 A081038 A081039 this_sequence A081041 A081042 A081043`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 03 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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