

A055106


Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.


9



1, 1, 1, 1, 4, 1, 1, 12, 8, 1, 1, 33, 44, 13, 1
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OFFSET

2,5


REFERENCES

M. C. Wolf, Symmetric Functions of Noncommutative Elements, Duke Math. J., 2 (1936), 626637.


LINKS

Table of n, a(n) for n=2..16.


EXAMPLE

T(1,1)=1 from Sum x_1; T(2,2)=1 from Sum x_1 x_2; T(3,2)=1 from Sum x_1 x_2 x_1; T(3,3)=1 from Sum x_1 x_2 x_3; ...
1; 1,1; 1,4,1; 1,12,8,1; 1,33,44,13,1; ...


CROSSREFS

Row sums are A074664. Cf. A055105, A055107.
Sequence in context: A192015 A205946 A101919 * A154372 A080416 A213166
Adjacent sequences: A055103 A055104 A055105 * A055107 A055108 A055109


KEYWORD

nonn,tabl,nice


AUTHOR

N. J. A. Sloane, Jun 14 2000


STATUS

approved



