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Search: id:A055106
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| A055106 |
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Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n. |
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+0
10
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| 1, 1, 1, 1, 4, 1, 1, 12, 8, 1, 1, 33, 44, 13, 1
(list; table; graph; listen)
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OFFSET
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2,5
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REFERENCES
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M. C. Wolf, Symmetric Functions of Non-commutative Elements, Duke Math. J., 2 (1936), 626-637.
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EXAMPLE
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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; ...
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CROSSREFS
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Row sums are A074664. Cf. A055105, A055107.
Adjacent sequences: A055103 A055104 A055105 this_sequence A055107 A055108 A055109
Sequence in context: A112500 A008292 A101919 this_sequence A080416 A099759 A072590
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KEYWORD
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nonn,tabl,nice
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AUTHOR
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njas, Jun 14 2000
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