id:A078344 - OEIS Search Results

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a(1)=1; a(2)=2; a(3)=3; a(n) = sum(k=3,n-1,a(k) + a(k-1) + a(k-2) ).

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1, 2, 3, 6, 17, 43, 109, 278, 708, 1803, 4592, 11695, 29785, 75857, 193194, 492030, 1253111, 3191446, 8128033, 20700623, 52720725, 134270106, 341961560, 870913951, 2218059568, 5648994647, 14386962813, 36640979841, 93317917142 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n) is asymptotic to ab^n where a = 0.1570450524507584150437292... and b is the real root of: x^3 - 2x^2 - x - 1; b = 2.546818276884082079135997..`
	CROSSREFS	`Sequence in context: A006449 A102980 A018284 this_sequence A024498 A122939 A003183` `Adjacent sequences: A078341 A078342 A078343 this_sequence A078345 A078346 A078347`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 22 2002`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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