A060241 Triangle T(n,k) in which n-th row gives degrees of irreducible representations of alternating group A_n.

1, 1, 1, 1, 1, 1, 3, 1, 3, 3, 4, 5, 1, 5, 5, 8, 8, 9, 10, 1, 6, 10, 10, 14, 14, 15, 21, 35, 1, 7, 14, 20, 21, 21, 21, 28, 35, 45, 45, 56, 64, 70, 1, 8, 21, 21, 27, 28, 35, 35, 42, 48, 56, 84, 105, 120, 162, 168, 189, 216, 1, 9, 35, 36, 42, 75, 84, 90, 126, 160, 210, 224, 224, 225, 252, 288, 300, 315, 350, 384, 384, 450, 525, 567, 1, 10, 44, 45, 110, 120, 126, 126, 132, 165, 210, 231, 330, 385, 462, 550, 594, 594, 594, 660, 693, 825, 924, 990, 990, 1100, 1155, 1232, 1320, 1540, 2310

Offset: 3

Author

N. J. A. Sloane, Mar 21 2001

Keywords

• nonn
• tabf
• nice
• easy

Examples

			Triangle begins:
  1, 1, 1;
  1, 1, 1, 3;
  1, 3, 3, 4, 5;
  1, 5, 5, 8, 8, 9, 10;
  ...
		

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.

Crossrefs

Rows give A003862, A003863, etc. Cf. A060240.

Programs

Magma

CharacterTable(AlternatingGroup(6)); // (say)

Extensions

Characters for A_8 to A_11 from the online Magma calculator. - R. J. Mathar, Jun 04 2006