OFFSET
0,1
COMMENTS
Interspersion of 4 linear recurrences with constant coefficients. - Gerry Martens, Jun 10 2015
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0,0,0,62,0,0,0,-1).
FORMULA
G.f.: -(x^7-7*x^6+8*x^5-23*x^4-31*x^3-23*x^2-8*x-7) / ((x^4-8*x^2+1)*(x^4+8*x^2+1)). - Colin Barker, Nov 05 2013
MAPLE
numtheory:-cfrac(sqrt(60), 50, 'con'):
map(numer, con[1..-2]); # Robert Israel, Jun 09 2015
MATHEMATICA
Numerator/@Convergents[Sqrt[60], 30] (* Harvey P. Dale, Apr 26 2011 *)
n0 := LinearRecurrence[{62, -1}, {7, 457}, 10]
n1 := LinearRecurrence[{62, -1}, {8, 488}, 10]
n2 := LinearRecurrence[{62, -1}, {23, 1433}, 10]
n3 := LinearRecurrence[{62, -1}, {31, 1921}, 10]
Flatten[MapIndexed[{n0[[#]], n1[[#]], n2[[#]], n3[[#]]} &, Range[10]]] (* Gerry Martens, Jun 09 2015 *)
LinearRecurrence[{0, 0, 0, 62, 0, 0, 0, -1}, {7, 8, 23, 31, 457, 488, 1433, 1921}, 28] (* Ray Chandler, Aug 03 2015 *)
CROSSREFS
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved