A138288 - OEIS

This site is supported by donations to The OEIS Foundation.

A138288

A054320(n) - A001078(n).

1, 9, 89, 881, 8721, 86329, 854569, 8459361, 83739041, 828931049, 8205571449, 81226783441, 804062262961, 7959395846169, 78789896198729, 779939566141121, 7720605765212481, 76426118085983689, 756540575094624409 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`a(n) = A072256(n+1);` `(sqrt(2)+sqrt(3))^(2n+1)=A054320(n-1)sqrt(2)+a(n)sqrt(3).` `a(n) = 10a(n-1) - a(n-2)) for n > 1;`
	FORMULA	`a(n) = A001079(n) + 2*A001078(n).`
	PROG	`(Other) sage: [lucas_number1(n, 10, 1)-lucas_number1(n-1, 10, 1) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 10 2009]`
	CROSSREFS	`Cf. A138281.` `Sequence in context: A198967 A015584 A072256 * A059482 A109002 A142991` `Adjacent sequences: A138285 A138286 A138287 * A138289 A138290 A138291`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 12 2008`

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

Last modified February 14 23:53 EST 2012. Contains 205689 sequences.