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

3,7

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

Table of n, a(n) for n=3..117.

Example

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

Prog

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

Crossrefs

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

Sequence in context: A349814 A117572 A029153 * A367951 A337983 A332003

Adjacent sequences: A060238 A060239 A060240 * A060242 A060243 A060244

Keyword

nonn,tabf,nice,easy

Author

N. J. A. Sloane, Mar 21 2001

Extensions

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

Status

approved