|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|