A163461 - OEIS

This site is supported by donations to The OEIS Foundation.

A163461

a(n) = 18*a(n-1)-79*a(n-2) for n > 1; a(0) = 1, a(1) = 10.

1, 10, 101, 1028, 10525, 108238, 1116809, 11551760, 119703769, 1242078802, 12900820685, 134090546972, 1394465011381, 14507216994070, 150967169994161, 1571338917363368, 16357694083001905, 170302719022328218 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Binomial transform of A163460. Inverse binomial transform of A163462.`
	FORMULA	`a(n) = ((2+sqrt(2))(9+sqrt(2))^n+(2-sqrt(2))(9-sqrt(2))^n)/4.` `G.f.: (1-8x)/(1-18x+79*x^2).`
	PROG	`(MAGMA) [ n le 2 select 9n-8 else 18Self(n-1)-79*Self(n-2): n in [1..18] ];`
	CROSSREFS	`Cf. A163460, A163462.` `Sequence in context: A175541 A180175 A041041 * A081192 A108892 A162849` `Adjacent sequences: A163458 A163459 A163460 * A163462 A163463 A163464`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 28 2009`

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

Last modified February 16 10:53 EST 2012. Contains 205904 sequences.