cp's OEIS Frontend

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.

%I A060247 #14 Feb 17 2022 06:17:43
%S A060247 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,
%T A060247 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,
%U A060247 15,15,15,15,15,16,17,17,17,17,17,17,17,1,9,9,16,16,16,16,17,18,18,18
%N 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.
%D A060247 J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford Univ. Press, 1985.
%H A060247 J. S. Kimberley, <a href="/A060247/b060247.txt">First 60 rows of A060247 triangle, flattened</a>.
%e A060247 Triangle begins:
%e A060247   1, 1, 2;
%e A060247   1, 1, 1, 3;
%e A060247   1, 3, 3, 4, 5;
%e A060247   1, 3, 3, 4, 5;
%e A060247   ...
%e A060247 (for q = 2,3,4,5, ...).
%o A060247 (Magma) CharacterTable(PSL(2,7)); // (say)
%o A060247 (Magma) &cat[[Degree(irred): irred in CharacterTable(PSL(2,q))]: q in [2..17]| IsPrimePower(q)]; // _Jason Kimberley_, May 22 2010
%Y A060247 q = A000961(n+1).
%Y A060247 Row length sequence is A177744.
%Y A060247 Consecutive row sequences from 3rd to 18th are: A003860, A003860, A003879, A003880, A003861, A003882, A003883, A003884, A003885, A003886, A003887, A003888, A003889, A003890, A003891, A003892.
%Y A060247 Cf. A060246, A060240, A060241.
%K A060247 tabf,nonn,nice,easy
%O A060247 1,3
%A A060247 _N. J. A. Sloane_, Mar 22 2001
%E A060247 Extended by _Jason Kimberley_, May 22 2010