id:A033818 - OEIS Search Results

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Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -2.

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3, 5, 9, 14, 22, 34, 53, 83, 131, 208, 332, 532, 855, 1377, 2221, 3586, 5794, 9366, 15145, 24495, 39623, 64100, 103704, 167784, 271467, 439229, 710673, 1149878, 1860526, 3010378 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = L(1)(F(n+1)-1)+L(0)F(n)-L(-1)n, F(n): Fibonacci (A000045), L(n): Lucas (A000032) with L(-n)=(-1)^nL(n)` `G.F. x(3-4x)/((1-x-x^2)*(1-x)^2), 3=L(-2), -4=+L(-3).`
	CROSSREFS	`Cf. A023548, A023537, A033811.` `Sequence in context: A081946 A053618 A032801 this_sequence A120452 A061556 A053993` `Adjacent sequences: A033815 A033816 A033817 this_sequence A033819 A033820 A033821`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified July 6 17:22 EDT 2008. Contains 140988 sequences.

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