login
A041088
Numerators of continued fraction convergents to sqrt(52).
2
7, 29, 36, 101, 137, 649, 9223, 37541, 46764, 131069, 177833, 842401, 11971447, 48728189, 60699636, 170127461, 230827097, 1093435849, 15538928983, 63249151781, 78788080764, 220825313309, 299613394073
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1298,0,0,0,0,0,-1).
FORMULA
a(n) = 1298*a(n-6)-a(n-12). G.f.: -(x^11-7*x^10+29*x^9-36*x^8+101*x^7-137*x^6-649*x^5-137*x^4-101*x^3-36*x^2-29*x-7)/((x^2-3*x-1)*(x^2+3*x-1)*(x^4-3*x^3+10*x^2+3*x+1)*(x^4+3*x^3+10*x^2-3*x+1)). [Colin Barker, Jul 18 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[52], 30]] (* Vincenzo Librandi, Oct 25 2013 *)
CROSSREFS
Sequence in context: A140447 A038934 A262285 * A107923 A096450 A156124
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved