A163415 - OEIS

This site is supported by donations to The OEIS Foundation.

A163415

a(n) = 18*a(n-1)-79*a(n-2) for n > 1; a(0) = 1, a(1) = 13.

1, 13, 155, 1763, 19489, 211525, 2267819, 24110267, 254827105, 2682176797, 28147841051, 294769171955, 3082165652161, 32192217154453, 335968822259435, 3504253645468043, 36535028659929409, 380794477886753965 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Binomial transform of A163414. Inverse binomial transform of A163416.`
	FORMULA	`a(n) = ((1+2sqrt(2))(9+sqrt(2))^n+(1-2sqrt(2))(9-sqrt(2))^n)/2.` `G.f.: (1-5x)/(1-18x+79*x^2).`
	PROG	`(MAGMA) [ n le 2 select 12n-11 else 18Self(n-1)-79*Self(n-2): n in [1..18] ];`
	CROSSREFS	`Cf. A163414, A163416.` `Sequence in context: A173448 A097168 A108366 * A077416 A192092 A102146` `Adjacent sequences: A163412 A163413 A163414 * A163416 A163417 A163418`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 27 2009`

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

Last modified February 15 19:02 EST 2012. Contains 205852 sequences.