id:A163476 - OEIS Search Results

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a(n) = 20*a(n-1)-97*a(n-2) for n > 1; a(0) = 3, a(1) = 33.

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3, 33, 369, 4179, 47787, 550377, 6372201, 74057451, 863045523, 10077337713, 117831338529, 1379125012419, 16152860411067, 189282082016697, 2218814180460441, 26015921653589211, 305093457567121443 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Binomial transform of A163475. Tenth binomial transform of A056449.`
	FORMULA	`a(n) = ((3+sqrt(3))(10+sqrt(3))^n+(3-sqrt(3))(10-sqrt(3))^n)/2.` `G.f.: (3-27x)/(1-20x+97*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 30n-27 else 20Self(n-1)-97*Self(n-2): n in [1..17] ];`
	CROSSREFS	`Cf. A163475, A056449.` `Sequence in context: A077698 A080488 A082778 this_sequence A155660 A009502 A011922` `Adjacent sequences: A163473 A163474 A163475 this_sequence A163477 A163478 A163479`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 11 2009`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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