|
Search: id:A041145
|
|
|
| A041145 |
|
Denominators of continued fraction convergents to sqrt(82). |
|
+0
3
|
|
| 1, 18, 325, 5868, 105949, 1912950, 34539049, 623615832, 11259624025, 203296848282, 3670602893101, 66274148924100, 1196605283526901, 21605169252408318, 390089651826876625, 7043218902136187568
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
Tanya Khovanova, Recursive Sequences
|
|
FORMULA
|
a(n)=F(n, 18), the n-th Fibonacci polynomial evaluated at x=18. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
a(n)=18*a(n-1)+a(n-2), n>1 ; a(0)=1, a(1)=18 . G.f.: 1/(1-18*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
|
|
MATHEMATICA
|
a=0; lst={}; s=0; Do[a=s-(a-1); AppendTo[lst, a]; s+=a*18, {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 27 2009]
|
|
CROSSREFS
|
Cf. A041144.
Sequence in context: A158532 A049660 A001027 this_sequence A041614 A166787 A068771
Adjacent sequences: A041142 A041143 A041144 this_sequence A041146 A041147 A041148
|
|
KEYWORD
|
nonn,cofr,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
