A321768 - cp's OEIS frontend

A321768 Consider the ternary tree of triples P(n, k) with n > 0 and 0 < k <= 3^(n-1), such that P(1, 1) = [3; 4; 5] and each triple t on some row branches to the triples At, Bt, C*t on the next row (with A = [1, -2, 2; 2, -1, 2; 2, -2, 3], B = [1, 2, 2; 2, 1, 2; 2, 2, 3] and C = [-1, 2, 2; -2, 1, 2; -2, 2, 3]); T(n, k) is the first component of P(n, k).

n	a(n)
1	3
2	5
3	21
4	15
5	7
6	55
7	45
8	39
9	119
10	77
11	33
12	65
13	35
14	9
15	105
16	91
17	105
18	297
19	187
20	95
21	207
22	117
23	57
24	377
25	299
26	217
27	697
28	459
29	175
30	319
31	165
32	51
33	275
34	209
35	115
36	403
37	273
38	85
39	133
40	63
41	11
42	171
43	153
44	203
45	555
46	345
47	189
48	429
49	247
50	155
51	987
52	777
53	539
54	1755
55	1161
56	429

[3, 5, 21, 15, 7, 55, 45, 39, 119, 77, 33, 65, 35, 9, 105, 91, 105, 297, 187, 95, 207, 117, 57, 377, 299, 217, 697, 459, 175, 319, 165, 51, 275, 209, 115, 403, 273, 85, 133, 63, 11, 171, 153, 203, 555, 345, 189, 429, 247, 155, 987, 777, 539, 1755, 1161, 429]

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