A072266 - cp's OEIS frontend

A072266 Number of words of length 2n generated by the two letters s and t that reduce to the identity 1 using the relations sssssss=1, tt=1 and stst=1. The generators s and t along with the three relations generate the 14-element dihedral group D7.

n	a(n)
0	1
1	1
2	3
3	10
4	35
5	126
6	462
7	1717
8	6451
9	24463
10	93518
11	360031
12	1394582
13	5430530
14	21242341
15	83411715
16	328589491
17	1297937234
18	5138431851
19	20380608990
20	80960325670
21	322016144629
22	1282138331587
23	5109310929719
24	20374764059254

[1, 1, 3, 10, 35, 126, 462, 1717, 6451, 24463, 93518, 360031, 1394582, 5430530, 21242341, 83411715, 328589491, 1297937234, 5138431851, 20380608990, 80960325670, 322016144629, 1282138331587, 5109310929719, 20374764059254]

cp's OEIS Frontend

A072266 Number of words of length 2n generated by the two letters s and t that reduce to the identity 1 using the relations sssssss=1, tt=1 and stst=1. The generators s and t along with the three relations generate the 14-element dihedral group D7.

Table of values

List of values