|
|
A041266
|
|
Numerators of continued fraction convergents to sqrt(146).
|
|
2
|
|
|
12, 145, 3492, 42049, 1012668, 12194065, 293670228, 3536236801, 85163353452, 1025496478225, 24697078830852, 297390442448449, 7162067697593628, 86242202813571985, 2076974935223321268, 25009941425493427201, 602315569147065574092, 7252796771190280316305
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[146], 30]] (* or *) CoefficientList[Series[(12 + 145 x + 12 x^2 - x^3)/(1 - 290 x^2 + x^4), {x, 0, 25}], x] (* Vincenzo Librandi, Oct 31 2013 *)
LinearRecurrence[{0, 290, 0, -1}, {12, 145, 3492, 42049}, 20] (* Harvey P. Dale, May 11 2017 *)
|
|
PROG
|
(Magma) I:=[12, 145, 3492, 42049]; [n le 4 select I[n] else 290*Self(n-2)-Self(n-4): n in [1..20]]; // Vincenzo Librandi, Nov 01 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|