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A060247
Triangle whose rows are the degrees of the irreducible representations of the groups PSL(2,q) as q runs through the primes and prime powers.
4
1, 1, 2, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 3, 3, 4, 5, 1, 3, 3, 6, 7, 8, 1, 7, 7, 7, 7, 8, 9, 9, 9, 1, 5, 5, 8, 8, 9, 10, 1, 5, 5, 10, 10, 11, 12, 12, 1, 7, 7, 12, 12, 12, 13, 14, 14, 1, 15, 15, 15, 15, 15, 15, 15, 15, 16, 17, 17, 17, 17, 17, 17, 17, 1, 9, 9, 16, 16, 16, 16, 17, 18, 18, 18
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.
EXAMPLE
Triangle begins:
1, 1, 2;
1, 1, 1, 3;
1, 3, 3, 4, 5;
1, 3, 3, 4, 5;
...
(for q = 2,3,4,5, ...).
PROG
(Magma) CharacterTable(PSL(2, 7)); // (say)
(Magma) &cat[[Degree(irred): irred in CharacterTable(PSL(2, q))]: q in [2..17]| IsPrimePower(q)]; // Jason Kimberley, May 22 2010
CROSSREFS
q = A000961(n+1).
Row length sequence is A177744.
Consecutive row sequences from 3rd to 18th are: A003860, A003860, A003879, A003880, A003861, A003882, A003883, A003884, A003885, A003886, A003887, A003888, A003889, A003890, A003891, A003892.
Sequence in context: A211095 A070091 A091981 * A060246 A161204 A123541
KEYWORD
tabf,nonn,nice,easy
AUTHOR
N. J. A. Sloane, Mar 22 2001
EXTENSIONS
Extended by Jason Kimberley, May 22 2010
STATUS
approved