A259965 Triangle read by rows: representation degeneracies of bosonic strings.
1, -1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 3, 2, 2, 0, 1, 0, 4, 3, 4, 2, 2, 0, 1, 3, 3, 7, 4, 5, 2, 2, 0, 1, 1, 8, 6, 10, 5, 5, 2, 2, 0, 1, 5, 7, 14, 10, 11, 6, 5, 2, 2, 0, 1, 2, 15, 15, 19, 13, 12, 6, 5, 2, 2, 0, 1, 10, 15, 26, 23, 24, 14, 13, 6, 5, 2, 2, 0, 1, 5, 28, 31, 38, 29, 27, 15, 13, 6, 5, 2, 2, 0, 1, 16, 30, 51, 47, 48, 34, 28, 16, 13, 6, 5, 2, 2, 0, 1
Offset: 0
Examples
Triangle begins: 1, -1,1, 0,0,1, 0,1,0,1, 1,0,2,0,1, 0,2,1,2,0,1, 2,1,3,2,2,0,1, 0,4,3,4,2,2,0,1, 3,3,7,4,5,2,2,0,1, 1,8,6,10,5,5,2,2,0,1, 5,7,14,10,11,6,5,2,2,0,1, 2,15,15,19,13,12,6,5,2,2,0,1, 10,15,26,23,24,14,13,6,5,2,2,0,1, 5,28,31,38,29,27,15,13,6,5,2,2,0,1, 16,30,51,47,48,34,28,16,13,6,5,2,2,0,1, ...
References
- T. L. Curtright and C. B. Thorn, Symmetry patterns in the mass spectra of dual string models, Nuclear Phys. B 274 (1986), 520-588. See Table 6b.