A085547 - OEIS

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

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OFFSET

1,2

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

PROG

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

CROSSREFS

Cf. A000700, A000085.

Sequence in context: A151531 A335203 A079987 * A058702 A235152 A363720

Adjacent sequences: A085544 A085545 A085546 * A085548 A085549 A085550

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Corrected and extended by Vladeta Jovovic, Jul 05 2003

More terms from Eric M. Schmidt, Feb 18 2013

STATUS

approved