id:A086927 - OEIS Search Results

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a(n) = 10a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 10, a(n) = (5+sqrt(26))^n + (5-sqrt(26))^n.

+0
3

2, 10, 102, 1030, 10402, 105050, 1060902, 10714070, 108201602, 1092730090, 11035502502, 111447755110, 1125513053602, 11366578291130, 114791295964902, 1159279537940150, 11707586675366402 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(n+1)/a(n) converges to (5+sqrt(26)) =10.099019... a(0)/a(1)=2/10; a(1)/a(2)=10/102; a(2)/a(3)=102/1030; a(3)/a(4)=1030/10402; ... etc. Lim a(n)/a(n+1) as n approaches infinity = 0.099019... = 1/(5+sqrt(26)) = (sqrt(26)-5).`
	LINKS	`Tanya Khovanova, Recursive Sequences` `Index entries for recurrences a(n) = k*a(n - 1) +/- a(n - 2)`
	EXAMPLE	`a(4) = 10402 = 10a(3) + a(2) = 10*1030 + 102 = (5+sqrt(26))^4 + (5-sqrt(26))^4 =` `10401.999903 + 0.000097 = 10402`
	CROSSREFS	`Cf. A036336.` `Sequence in context: A074109 A036336 A070842 this_sequence A135058 A005799 A000595` `Adjacent sequences: A086924 A086925 A086926 this_sequence A086928 A086929 A086930`
	KEYWORD	`easy,nonn`
	AUTHOR	`Nikolay V. Kosinov (kosinov(AT)unitron.com.ua), Sep 21 2003`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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