A003861 -id:A003861 - 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.

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

N. J. A. Sloane, Mar 22 2001

			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, ...).

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

J. S. Kimberley, First 60 rows of A060247 triangle, flattened.

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.
Cf. A060246, A060240, A060241.

Magma
```
CharacterTable(PSL(2,7)); // (say)
```

&cat[[Degree(irred): irred in CharacterTable(PSL(2,q))]: q in [2..17]| IsPrimePower(q)]; // Jason Kimberley, May 22 2010

Extended by Jason Kimberley, May 22 2010

A060955 Highest degree of an irreducible representation of the alternating group A_n of degree n.

Original entry on oeis.org

1, 1, 1, 3, 5, 10, 35, 70, 216, 567, 2310, 5775, 21450, 69498, 243243, 1153152, 3620864, 16336320, 64664600, 249420600, 997682400, 5462865408, 21422145536

Offset: 1

Ahmed Fares (ahmedfares(AT)my-deja.com), May 08 2001

nonn

Cf. A003040, A003861-A003868.

list:= []; for i in [1..23] do "i = ", i; g:= Alt(i); ct:= CharacterTable(g); "ct =", ct[ #ct][1]; Append(~list, ct[ #ct][1]); end for; // Colva Roney-Dougal (colva(AT)mcs.st-and.ac.uk), Mar 30 2007

More terms from Colva Roney-Dougal (colva(AT)mcs.st-and.ac.uk), Mar 30 2007

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.

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A060955 Highest degree of an irreducible representation of the alternating group A_n of degree n.

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