A093568 - cp's OEIS frontend

A093568 Let M = the 2 X 2 matrix [0 1 / -1 2+sqrt(8)]. Perform the operation M^n * [1 1] = [x y]; then a(n) = floor(x), a(n+1) = floor(y).

n	a(n)
1	1
2	3
3	17
4	80
5	371
6	1714
7	7904
8	36451
9	168098
10	775200
11	3574898
12	16485939
13	76026256
14	350601298
15	1616826563
16	7456127936
17	34384543809
18	158567136067
19	731245317072
20	3372197587729
21	15551164985523
22	71715469249777
23	330721752004000

[1, 3, 17, 80, 371, 1714, 7904, 36451, 168098, 775200, 3574898, 16485939, 76026256, 350601298, 1616826563, 7456127936, 34384543809, 158567136067, 731245317072, 3372197587729, 15551164985523, 71715469249777, 330721752004000]

cp's OEIS Frontend

A093568 Let M = the 2 X 2 matrix [0 1 / -1 2+sqrt(8)]. Perform the operation M^n * [1 1] = [x y]; then a(n) = floor(x), a(n+1) = floor(y).

Table of values

List of values