|
Search: id:A118658
|
|
|
| A118658 |
|
L_n - F_n where L_n is the Lucas Number and F_n is the Fibonacci Number. |
|
+0
1
|
|
| 2, 0, 2, 2, 4, 6, 10, 16, 26, 42, 68, 110, 178, 288, 466, 754, 1220, 1974, 3194, 5168, 8362, 13530, 21892, 35422, 57314, 92736, 150050, 242786, 392836, 635622, 1028458, 1664080, 2692538, 4356618, 7049156, 11405774, 18454930, 29860704, 48315634
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Essentially the same as A006355, A047992, A054886, A055389, A068922, A090991, - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 20 2006
|
|
LINKS
|
Tanya Khovanova, Recursive Sequences
|
|
FORMULA
|
a(0)=2, a(1)=0, a(n)=a(n-1)+a(n-2)for n>1 . G.f. (2-2*x)/(1-x-x^2) . a(0)=2 and a(n)= 2*A000045(n-1) for n>0 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 20 2006
a(n)=F(n)+F(n+3) n>=-3 {where F(n) is the n-th Fibonacci number} - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
|
|
EXAMPLE
|
L_7 = 18, F_7 = 8, L_7 - F_7 = 10
|
|
MAPLE
|
BB := n->if n=0 then 2; > elif n=1 then 0; > else BB(n-2)+BB(n-1); > fi: > L:=[]: for k from 0 to 38 do L:=[op(L), BB(k)]: od: L; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 19 2007
with(combinat): seq(fibonacci(n)+fibonacci(n+3), n=-3..35); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
|
|
CROSSREFS
|
Cf. A000032, A003714.
Sequence in context: A051734 A137430 A002121 this_sequence A071055 A078052 A056458
Adjacent sequences: A118655 A118656 A118657 this_sequence A118659 A118660 A118661
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Bill Jones (b92057(AT)yahoo.com), May 18 2006
|
|
EXTENSIONS
|
More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 20 2006
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 01 2006
|
|
|
Search completed in 0.002 seconds
|
