A060246 Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,p) as p runs through the primes.

1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18, 1, 9, 9, 18, 18, 18, 18, 19, 20, 20, 20, 20, 1, 11, 11, 22, 22, 22, 22, 22, 23, 24, 24, 24, 24, 24, 1, 15, 15, 28, 28, 28, 28, 28

Offset: 1

Author

N. J. A. Sloane, Mar 22 2001

Keywords

• tabf
• nonn
• nice
• easy

Examples

			1,1,2; 1,1,1,3; 1,3,3,4,5; ... (for q=2,3,5,...).
		

References

• J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.

Links

• J. S. Kimberley, First 123 rows of A060246 triangle, flattened.

Crossrefs

Row length sequence is A124678.

Consecutive row sequences from 3rd to 11th are: A003860, A003879, A003882, A003883, A003885, A003886, A003887, A003890, A003891.

Cf. A060247, A060240, A060241.

Programs

Magma

CharacterTable(PSL(2,7)); (say)

Magma

&cat[[Degree(irred): irred in CharacterTable(PSL(2, p))]: p in PrimesUpTo(30)];

Extensions

Extended by Jason Kimberley, May 23 2010