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

1,3

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.

Example

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

Prog

(Magma) CharacterTable(PSL(2, 7)); (say)
(Magma) &cat[[Degree(irred): irred in CharacterTable(PSL(2, p))]: p in PrimesUpTo(30)];

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.

Sequence in context: A070091 A091981 A060247 * A161204 A123541 A345062

Adjacent sequences: A060243 A060244 A060245 * A060247 A060248 A060249

Keyword

tabf,nonn,nice,easy

Author

N. J. A. Sloane, Mar 22 2001

Extensions

Extended by Jason Kimberley, May 23 2010

Status

approved