|
| |
|
|
A041180
|
|
Numerators of continued fraction convergents to sqrt(101).
|
|
1
| |
|
|
10, 201, 4030, 80801, 1620050, 32481801, 651256070, 13057603201, 261803320090, 5249124005001, 105244283420110, 2110134792407201, 42307940131564130, 848268937423689801, 17007686688605360150
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Tanya Khovanova, Recursive Sequences
|
|
|
FORMULA
| a(n)=20*a(n-1)+a(n-2), n>1 ; a(0)=10, a(1)=201 . G.f.: (10+x)/(1-20*x-x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 21 2008]
a(n)=(1/2)*sqrt(101)*{[10+sqrt(101)]^n-[10-sqrt(101)]^n}+5*{[10+sqrt(101)]^n+[10-sqrt(101)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 28 2008]
|
|
|
CROSSREFS
| Cf. A041181.
Sequence in context: A051262 A178020 A041183 * A027014 A088746 A069863
Adjacent sequences: A041177 A041178 A041179 * A041181 A041182 A041183
|
|
|
KEYWORD
| nonn,cofr,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
