A152448 - OEIS

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A152448

a(0)=a(1)=1, a(2)=6, a(3)=11; a(n+4)=10*a(n+2)-a(n)

1, 1, 6, 11, 59, 109, 584, 1079, 5781, 10681, 57226, 105731, 566479, 1046629, 5607564, 10360559, 55509161, 102558961, 549484046, 1015229051, 5439331299, 10049731549, 53843828944, 99482086439, 532998958141, 984771132841 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (0,10,0,-1).`
	FORMULA	`a(n) = (1/483^(1/2)2^(1/2) + 1/4 + 1/82^(1/2))(sqrt(3) + sqrt(2))^n + ( - 1/483^(1/2)2^(1/2) + 1/4 - 1/82^(1/2))(sqrt(3) - sqrt(2))^n + (1/483^(1/2)2^(1/2) + 1/4 - 1/82^(1/2))( - sqrt(3) - sqrt(2))^n + (1/4 - 1/483^(1/2)2^(1/2) + 1/82^(1/2))( - sqrt(3) + sqrt(2))^n)` `a(2n)=A004189(n+1)-4*A004189(n). a(2n+1)=A004189(n)+A004189(n+1). G.f.: (1+x-4x^2+x^3) / (1-10x^2+x^4). [From R. J. Mathar and Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 05 2008]`
	CROSSREFS	`Sequence in context: A077701 A177197 A177162 * A073219 A110445 A128387` `Adjacent sequences: A152445 A152446 A152447 * A152449 A152450 A152451`
	KEYWORD	`easy,nonn`
	AUTHOR	`Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 04 2008`

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Last modified February 16 18:43 EST 2012. Contains 205939 sequences.