|
|
A241497
|
|
q-Pell numbers with q=2.
|
|
1
|
|
|
0, 1, 2, 6, 20, 88, 496, 3808, 39360, 566144, 11208448, 312282624, 12102016000, 663758845952, 50897375227904, 5539307216494592, 844981210166968320, 183201981290428727296, 55743092552083293274112
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
Recurrence: a(n) = 2*a(n-1) + 2^(n-2) a(n-2), a(0) = 0, a(1) = 1.
|
|
PROG
|
(Sage) # sage -i ore_algebra
from ore_algebra import *
R.<x> = QQ['x']; A.<Qx> = OreAlgebra(R, 'Qx', q=2)
print((Qx^2 - 2*Qx - x).to_list([0, 1], 10))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|