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A042012
Numerators of continued fraction convergents to sqrt(530).
3
23, 1059, 48737, 2242961, 103224943, 4750590339, 218630380537, 10061748095041, 463059042752423, 21310777714706499, 980758833919251377, 45136217138000269841, 2077246747181931664063, 95598486587506856816739, 4399607629772497345234057
OFFSET
0,1
FORMULA
From Philippe Deléham, Nov 23 2008: (Start)
a(n) = 46*a(n-1) + a(n-2), n > 1; a(0)=23, a(1)=1059.
G.f.: (23+x)/(1-46*x-x^2). (End)
MATHEMATICA
Numerator[Convergents[Sqrt[530], 30]] (* Vincenzo Librandi, Nov 13 2013 *)
LinearRecurrence[{46, 1}, {23, 1059}, 30] (* Harvey P. Dale, May 05 2016 *)
CROSSREFS
Sequence in context: A069479 A174748 A042015 * A128404 A126741 A273477
KEYWORD
nonn,cofr,frac,easy,less
EXTENSIONS
Additional term from Colin Barker, Nov 29 2013
STATUS
approved