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A041048
Numerators of continued fraction convergents to sqrt(30).
3
5, 11, 115, 241, 2525, 5291, 55435, 116161, 1217045, 2550251, 26719555, 55989361, 586613165, 1229215691, 12878770075, 26986755841, 282746328485, 592479412811, 6207540456595, 13007560326001, 136283143716605, 285573847759211, 2992021621308715, 6269617090376641
OFFSET
0,1
FORMULA
G.f.: (5+11*x+5*x^2-x^3)/(1-22*x^2+x^4). - Colin Barker, Jan 02 2012
a(n) = 22*a(n-2) - a(n-4). - Wesley Ivan Hurt, Jun 16 2023
MATHEMATICA
Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[30], n]]], {n, 1, 50}] (* Vladimir Joseph Stephan Orlovsky, Mar 18 2011 *)
Numerator[Convergents[Sqrt[30], 30]] (* Harvey P. Dale, May 06 2012 *)
CROSSREFS
Sequence in context: A056265 A302144 A041909 * A354022 A222568 A248253
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Harvey P. Dale, Apr 04 2013
STATUS
approved