A085547 a(n) is the maximal row sum in the character table of the symmetric group S_n.

1, 2, 3, 5, 7, 15, 36, 81, 207, 721, 2376, 7507, 21738, 73374, 282743, 1171196, 4788339, 16873326, 67358487, 254348771, 1112160513, 5501381580, 28156192351, 119664751353, 562988633501, 2493170384313, 12700046797629, 57276361610664, 296047270811158

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 03 2003

Keywords

• nonn

Comments

The minimal row sum in the table corresponds to the one-dimensional alternating representation and this is in sequence A000700. The maximal column sum in the character table is in sequence A000085.

Links

• Eric M. Schmidt, Table of n, a(n) for n = 1..35

Crossrefs

Cf. A000700, A000085.

Programs

GAP

A085547 := n -> Maximum(List(Irr(CharacterTable("Symmetric", n)), Sum)); # Eric M. Schmidt, Feb 18 2013

Extensions

Corrected and extended by Vladeta Jovovic, Jul 05 2003

More terms from Eric M. Schmidt, Feb 18 2013