|
|
A042705
|
|
Denominators of continued fraction convergents to sqrt(882).
|
|
2
|
|
|
1, 1, 3, 10, 63, 199, 461, 660, 38741, 39401, 117543, 392030, 2469723, 7801199, 18072121, 25873320, 1518724681, 1544598001, 4607920683, 15368360050, 96818080983, 305822602999, 708463286981, 1014285889980, 59537044905821, 60551330795801
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).
|
|
FORMULA
|
G.f.: -(x^14 -x^13 +3*x^12 -10*x^11 +63*x^10 -199*x^9 +461*x^8 -660*x^7 -461*x^6 -199*x^5 -63*x^4 -10*x^3 -3*x^2 -x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - Colin Barker, Dec 22 2013
|
|
MATHEMATICA
|
|
|
PROG
|
(Magma) I:=[1, 1, 3, 10, 63, 199, 461, 660, 38741, 39401, 117543, 392030, 2469723, 7801199, 18072121, 25873320]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|