id:A164551 - OEIS Search Results

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a(n) = 10*a(n-1)-19*a(n-2) for n > 1; a(0) = 1, a(1) = 9.

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1, 9, 71, 539, 4041, 30169, 224911, 1675899, 12485681, 93014729, 692919351, 5161913659, 38453668921, 286460329689, 2133983587391, 15897089609819, 118425207937761, 882207376791049, 6571994817093031, 48958008011900379 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A154235. Inverse binomial transform of A164552.`
	FORMULA	`a(n) = ((3+2sqrt(6))(5+sqrt(6))^n+(3-2sqrt(6))(5-sqrt(6))^n)/6.` `G.f.: (1-x)/(1-10x+19x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 8n-7 else 10Self(n-1)-19*Self(n-2): n in [1..20] ];`
	CROSSREFS	`Cf. A154235, A164552.` `Sequence in context: A000899 A156705 A081900 this_sequence A057080 A001706 A158193` `Adjacent sequences: A164548 A164549 A164550 this_sequence A164552 A164553 A164554`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 15 2009`

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

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