|
| |
|
|
A014283
|
|
Fibonacci(n) - n^2.
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..280
|
|
|
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]
|
|
|
MATHEMATICA
| Table[Fibonacci[n]-n^2, {n, 0, 100}] (* From Vladimir Joseph Stephan Orlovsky, May 02 2011 *)
|
|
|
PROG
| (MAGMA) [Fibonacci(n) - n^2: n in [0..50]]; // Vincenzo Librandi, May 03 2011
|
|
|
CROSSREFS
| Cf. A000045.
Sequence in context: A023230 A194581 A106080 * A033551 A022777 A033154
Adjacent sequences: A014280 A014281 A014282 * A014284 A014285 A014286
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| fink(AT)cadvision.com (A. R. Fink)
|
| |
|
|
