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Search: id:A014283
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A014283 Fibonacci(n) - n^2. +0
1
0, 0, -3, -7, -13, -20, -28, -36, -43, -47, -45, -32, 0, 64, 181, 385, 731, 1308, 2260, 3820, 6365, 10505, 17227, 28128, 45792, 74400, 120717, 195689, 317027, 513388, 831140, 1345308, 2177285, 3523489, 5701731, 9226240 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=((1+sqrt(5))^n-(1-sqrt(5))^n)/(2^n*sqrt(5))-n^2. a(n)=4*a(n-1)-5*a(n-2)+a(n-3)+2*a(n-4)-a(n-5). G.f.: (-3*x^2+5*x^3)/(1-4*x+5*x^2-x^3-2*x^4+x^5). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 08 2002

MAPLE

with (combinat):seq((fibonacci(n)-n^2), n=0..35); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 21 2009]

CROSSREFS

Cf. A000045.

Sequence in context: A134765 A023230 A106080 this_sequence A033551 A022777 A033154

Adjacent sequences: A014280 A014281 A014282 this_sequence A014284 A014285 A014286

KEYWORD

sign

AUTHOR

fink(AT)cadvision.com (A. R. Fink)

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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