A216486 - cp's OEIS frontend

A216486 a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)A(n-1) + A(n-2) + ((3-sqrt(13))/2)A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).

n	a(n)
0	0
1	1
2	-1
3	4
4	-3
5	14
6	-10
7	48
8	-37
9	166
10	-144
11	582
12	-570
13	2067
14	-2260
15	7421
16	-8923
17	26878
18	-35020
19	98039
20	-136612
21	359649
22	-529990
23	1325491
24	-2046310
25	4903786
26	-7868991
27	18199354
28	-30157768
29	67720279
30	-115255425
31	252540383
32	-439456837
33	943488036

[0, 1, -1, 4, -3, 14, -10, 48, -37, 166, -144, 582, -570, 2067, -2260, 7421, -8923, 26878, -35020, 98039, -136612, 359649, -529990, 1325491, -2046310, 4903786, -7868991, 18199354, -30157768, 67720279, -115255425, 252540383, -439456837, 943488036]

cp's OEIS Frontend

A216486 a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)A(n-1) + A(n-2) + ((3-sqrt(13))/2)A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).

Table of values

List of values

cp's OEIS Frontend

A216486 a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)*A(n-1) + A(n-2) + ((3-sqrt(13))/2)*A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).

Table of values

List of values

A216486 a(n) is equal to the rational part (considering of the field Q(sqrt(13))) of the numbers A(n)/sqrt(13), where we have A(n) = ((sqrt(13) - 1)/2)A(n-1) + A(n-2) + ((3-sqrt(13))/2)A(n-3), with A(0) = 6, A(1) = sqrt(13) - 1, and A(2) = 11 - sqrt(13).