A081044 - OEIS

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A081044

9th binomial transform of (1,8,0,0,0,0,0,0,.....).

1, 17, 225, 2673, 29889, 321489, 3365793, 34543665, 349156737, 3486784401, 34480423521, 338218086897, 3295011258945, 31914537622353, 307565765227809, 2951106226689969, 28207085096966913, 268687927383516945 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n)=18a(n-1)-81a(n-2), a(0)=0, a(1)=17. a(n)=(8n+9)9^(n-1) a(n)= Sum {k=0..n, (k+1)*8^k Binomial(n, k)}. G.f. (1-x)/(1-9x)^2`
	CROSSREFS	`Cf. A081043, A081045.` `Sequence in context: A016281 A160398 A181380 * A016227 A155001 A012095` `Adjacent sequences: A081041 A081042 A081043 * A081045 A081046 A081047`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 04 2003`

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Last modified February 15 18:54 EST 2012. Contains 205845 sequences.