|
| |
|
|
A042405
|
|
Denominators of continued fraction convergents to sqrt(730).
|
|
1
| |
|
|
1, 54, 2917, 157572, 8511805, 459795042, 24837444073, 1341681774984, 72475653293209, 3915026959608270, 211483931472139789, 11424047326455156876, 617110039560050611093, 33335366183569188155898, 1800726883952296211029585
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| Tanya Khovanova, Recursive Sequences
|
|
|
FORMULA
| a(n)=F(n, 54), the n-th Fibonacci polynomial evaluated at x=54. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=54*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=54 . G.f.: 1/(1-54*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
a(n)=(1/2)*{[27+sqrt(730)]^n+[27-sqrt(730)]^n}+(27/1460)*sqrt(730)*{[27+sqrt(730)]^n-[27 -sqrt(730)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Dec 01 2008]
|
|
|
MATHEMATICA
| a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*54, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]
|
|
|
CROSSREFS
| Cf. A042404.
Sequence in context: A207093 A188990 A189200 * A187304 A046199 A007761
Adjacent sequences: A042402 A042403 A042404 * A042406 A042407 A042408
|
|
|
KEYWORD
| nonn,cofr,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
