id:A080878 - OEIS Search Results

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a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=1, a(2)=3.

+0
7

1, 1, 3, 4, 14, 20, 72, 104, 376, 544, 1968, 2848, 10304, 14912, 53952, 78080, 282496, 408832, 1479168, 2140672, 7745024, 11208704, 40553472, 58689536, 212340736, 307302400, 1111830528, 1609056256, 5821620224, 8425127936, 30482399232 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1+x-3x^2-2x^3)/(1-6x^2+4x^4). a(n)=6a(n-2)-4a(n-4). - Michael Somos, Mar 05 2003` `G.f.: (-2x^3 - 3x^2 + x + 1)/(4x^4 - 6x^2 + 1)`
	CROSSREFS	`Cf. A080876, A080877, A080879, A080880, A080881, A080882.` `a(2n) = A080877(2n+1), a(2n+1) = A080877(2n+2)/2.` `Adjacent sequences: A080875 A080876 A080877 this_sequence A080879 A080880 A080881` `Sequence in context: A024863 A025107 A047182 this_sequence A110565 A057433 A006074`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Feb 22 2003`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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