|
|
A042762
|
|
Numerators of continued fraction convergents to sqrt(912).
|
|
2
|
|
|
30, 151, 9090, 45601, 2745150, 13771351, 829026210, 4158902401, 250363170270, 1255974753751, 75608848395330, 379300216730401, 22833621852219390, 114547409477827351, 6895678190521860450, 34592938362087129601, 2082471979915749636510, 10446952837940835312151
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Numerator[Convergents[Sqrt[912], 30]] (* or *) CoefficientList[Series[(30 + 151 x + 30 x^2 - x^3)/(1 - 302 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 04 2013 *)
|
|
PROG
|
(Magma) I:=[30, 151, 9090, 45601]; [n le 4 select I[n] else 302*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 04 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|