A003875 Degrees of irreducible representations of symmetric group S_11.

1, 1, 10, 10, 44, 44, 45, 45, 110, 110, 120, 120, 132, 132, 165, 165, 210, 210, 231, 231, 252, 330, 330, 385, 385, 462, 462, 550, 550, 594, 594, 660, 660, 693, 693, 825, 825, 924, 924, 990, 990, 990, 990, 1100, 1100, 1155, 1155, 1188, 1232, 1232, 1320, 1320, 1540, 1540, 2310, 2310

Offset

1,3

Comments

All 56 terms of this finite sequence are shown.

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 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites].

Links

Table of n, a(n) for n=1..56.

Mathematica

h[l_] := With[{n = Length[l]}, Total[l]!/Product[Product[1 + l[[i]] - j + Sum[If[l[[k]] >= j, 1, 0], {k, i + 1, n}], {j, 1, l[[i]]}], {i, 1, n}]];
g[n_, i_, l_] := If[n == 0 || i == 1, h[Join[l, Array[1 &, n]]], If[i < 1, 0, Flatten@ Table[g[n - i*j, i - 1, Join[l, Array[i&, j]]], {j, 0, n/i}]]];
T[n_] := g[n, n, {}];
Sort[T[11]] (* Jean-François Alcover, Sep 23 2024, after Alois P. Heinz in A060240 *)

Prog

(Magma) t1 := CharacterTable(SymmetricGroup(11)); [Degree(t1[i]) : i in [1 .. #t1]];
(GAP) A003875 := List(Irr(CharacterTable("S11")), chi->chi[1]);; Sort(A003875); # Eric M. Schmidt, Jul 18 2012

Crossrefs

Row n=11 of A060240.

Sequence in context: A109051 A371958 A201027 * A341836 A328530 A238017

Adjacent sequences: A003872 A003873 A003874 * A003876 A003877 A003878

Keyword

nonn,fini,full

Author

N. J. A. Sloane

Status

approved