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

0,13

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.

Links

Table of n, a(n) for n=0..119.

Example

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,
...

Crossrefs

The leading columns are A005290, A005291, A005292, A005293, A005294.

Sequence in context: A089650 A085513 A362913 * A117054 A036579 A379714

Adjacent sequences: A259962 A259963 A259964 * A259966 A259967 A259968

Keyword

sign,tabl

Author

N. J. A. Sloane, Jul 11 2015

Status

approved