|
|
A041182
|
|
Numerators of continued fraction convergents to sqrt(102).
|
|
2
|
|
|
10, 101, 2030, 20401, 410050, 4120901, 82828070, 832401601, 16730860090, 168141002501, 3379550910110, 33963650103601, 682652552982130, 6860489179924901, 137892436151480150, 1385784850694726401
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (10 + 101*x + 10*x^2 - x^3)/(1 - 202*x^2 + x^4). [Bruno Berselli, Oct 30 2013]
|
|
MATHEMATICA
|
RecurrenceTable[{a[0] == 10, a[1] == 101, a[2] == 2030, a[3] == 20401, a[n] == 202 a[n - 2] - a[n - 4]}, a, {n, 0, 15}] (* Bruno Berselli, Oct 30 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr,frac,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|