A081042 - OEIS

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A081042

7th binomial transform of (1,6,0,0,0,0,0,0,.....).

1, 13, 133, 1225, 10633, 88837, 722701, 5764801, 45294865, 351652861, 2703691669, 20620693177, 156208812697, 1176509412085, 8816899947037, 65787638066353, 488998835524129, 3622389432086509, 26752509108528805, 197038045347164329 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n)=14a(n-1)-49a(n-2), a(0)=1, a(1)=13. a(n)=(6n+7)7^(n-1) a(n)= Sum {k=0..n, (k+1)*6^k Binomial(n, k)} G.f. (1-x)/(1-7x)^2`
	CROSSREFS	`Cf. A081041, A081042.` `Sequence in context: A037617 A199144 A198664 * A016153 A187732 A031138` `Adjacent sequences: A081039 A081040 A081041 * A081043 A081044 A081045`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 04 2003`

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Last modified February 15 02:34 EST 2012. Contains 205689 sequences.