login
A041304
Numerators of continued fraction convergents to sqrt(165).
2
12, 13, 77, 167, 912, 1079, 26808, 27887, 166243, 360373, 1968108, 2328481, 57851652, 60180133, 358752317, 777684767, 4247176152, 5024860919, 124843838208, 129868699127, 774187333843, 1678243366813, 9165404167908, 10843647534721, 269412945001212
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2158,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^11 -12*x^10 +13*x^9 -77*x^8 +167*x^7 -912*x^6 -1079*x^5 -912*x^4 -167*x^3 -77*x^2 -13*x -12) / ((x^4 -13*x^2 +1)*(x^8 +13*x^6 +168*x^4 +13*x^2 +1)). - Colin Barker, Nov 06 2013
MATHEMATICA
Numerator[Convergents[Sqrt[165], 30]] (* Harvey P. Dale, Dec 25 2012 *)
CROSSREFS
Cf. A041305.
Sequence in context: A371704 A041300 A041302 * A085546 A041306 A058952
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved