A105309 - cp's OEIS frontend

A105309 a(n) = |b(n)|^2 = x^2 + 3y^2 where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)(0,c,c,c) where c = 1/sqrt(3).

n	a(n)
0	1
1	1
2	2
3	5
4	9
5	20
6	41
7	85
8	178
9	369
10	769
11	1600
12	3329
13	6929
14	14418
15	30005
16	62441
17	129940
18	270409
19	562725
20	1171042
21	2436961
22	5071361
23	10553600
24	21962241
25	45703841
26	95110562
27	197926885
28	411889609
29	857150100
30	1783745641
31	3712008565

[1, 1, 2, 5, 9, 20, 41, 85, 178, 369, 769, 1600, 3329, 6929, 14418, 30005, 62441, 129940, 270409, 562725, 1171042, 2436961, 5071361, 10553600, 21962241, 45703841, 95110562, 197926885, 411889609, 857150100, 1783745641, 3712008565]

cp's OEIS Frontend

A105309 a(n) = |b(n)|^2 = x^2 + 3y^2 where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)(0,c,c,c) where c = 1/sqrt(3).

Table of values

List of values

cp's OEIS Frontend

A105309 a(n) = |b(n)|^2 = x^2 + 3*y^2 where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)*(0,c,c,c) where c = 1/sqrt(3).

Table of values

List of values

A105309 a(n) = |b(n)|^2 = x^2 + 3y^2 where (x,y,y,y) is the quaternion b(n) of the sequence b of quaternions defined by b(0)=1,b(1)=1, b(n) = b(n-1) + b(n-2)(0,c,c,c) where c = 1/sqrt(3).