|
Search: id:A041040
|
|
|
| A041040 |
|
Numerators of continued fraction convergents to sqrt(26). |
|
+0
3
|
|
| 5, 51, 515, 5201, 52525, 530451, 5357035, 54100801, 546365045, 5517751251, 55723877555, 562756526801, 5683289145565, 57395647982451, 579639768970075, 5853793337683201, 59117573145802085, 597029524795704051
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
Tanya Khovanova, Recursive Sequences
|
|
FORMULA
|
a(n)=10*a(n-1)+a(n-2), a(0)=5, a(1)=51. G.f.: (5+x)/(1-10*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 20 2008]
a(n)=(5/2)*{[5+sqrt(26)]^n+[5-sqrt(26)]^n}+(1/2)*sqrt(26)*{[5+sqrt(26)]^n-[5-sqrt(26)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 28 2008]
|
|
CROSSREFS
|
Cf. A041041.
Sequence in context: A145641 A106415 A088320 this_sequence A154886 A145162 A095839
Adjacent sequences: A041037 A041038 A041039 this_sequence A041041 A041042 A041043
|
|
KEYWORD
|
nonn,cofr,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
