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A041264
Numerators of continued fraction convergents to sqrt(145).
4
12, 289, 6948, 167041, 4015932, 96549409, 2321201748, 55805391361, 1341650594412, 32255419657249, 775471722368388, 18643576756498561, 448221313878333852, 10775955109836511009, 259071143949954598068, 6228483409908746864641, 149742672981759879349452
OFFSET
0,1
FORMULA
a(n) = 24*a(n-1)+a(n-2) for n>1; a(0)=12, a(1)=289. G.f.: (12+x)/(1-24*x-x^2). [Philippe Deléham, Nov 21 2008]
MATHEMATICA
Numerator[Convergents[Sqrt[145], 30]] (* Vincenzo Librandi, Oct 31 2013 *)
CROSSREFS
Cf. A041265.
Sequence in context: A001164 A226100 A041267 * A220307 A361302 A361309
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved