id:A033817 - OEIS Search Results

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Convolution of natural numbers n >= 1 with Lucas numbers L(k) for k >= -4.

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7, 10, 16, 21, 28, 36, 47, 62, 84, 117, 168, 248, 375, 578, 904, 1429, 2276, 3644, 5855, 9430, 15212, 24565, 39696, 64176, 103783, 167866, 271552, 439317, 710764, 1149972 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n) = L(-1)(F(n+1)-1)+L(-2)F(n)-L(-3)n, F(n): Fibonacci (A000045), L(n): Lucas (A000032) with L(-n)=(-1)^nL(n)` `G.F. x(7-11x)/((1-x-x^2)*(1-x)^2), 7=L(-4), -11=+L(-5).`
	CROSSREFS	`Cf. A023548, A023537, A033814.` `Sequence in context: A088350 A085382 A083390 this_sequence A098748 A020692 A124187` `Adjacent sequences: A033814 A033815 A033816 this_sequence A033818 A033819 A033820`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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