A163476 - OEIS

This site is supported by donations to The OEIS Foundation.

A163476

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

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

	OFFSET	`0,1`
	COMMENTS	`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).`
	PROG	`(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 * A155660 A009502 A011922` `Adjacent sequences: A163473 A163474 A163475 * A163477 A163478 A163479`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 11 2009`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 19:13 EST 2012. Contains 206085 sequences.