id:A013915 - OEIS Search Results

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a(n)=F(n)+L(n)+n, where F(n) (A000045) and L(n) (A000204) are Fibonacci and Lucas numbers respectively.

+0
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3, 3, 7, 10, 16, 24, 37, 57, 89, 140, 222, 354, 567, 911, 1467, 2366, 3820, 6172, 9977, 16133, 26093, 42208, 68282, 110470, 178731, 289179, 467887, 757042, 1224904, 1981920, 3206797, 5188689, 8395457, 13584116, 21979542, 35563626, 57543135 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n)=a(n-1)+a(n-2)-n+3.` `a(n)= 3a(n-1) -2a(n-2) -a(n-3) +a(n-4). G.f.: (-3+6x-4x^2+2x^3)/((x^2+x-1) (x-1)^2). a(n)=n+A013655(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2009]`
	CROSSREFS	`Sequence in context: A075149 A161618 A157933 this_sequence A136445 A052989 A022403` `Adjacent sequences: A013912 A013913 A013914 this_sequence A013916 A013917 A013918`
	KEYWORD	`nonn,easy,new`
	AUTHOR	`Mohammad K. Azarian (ma3(AT)evansville.edu)`
	EXTENSIONS	`More terms from Erich Friedman (erich.friedman(AT)stetson.edu).`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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