OFFSET
1,2
LINKS
Alois P. Heinz, Rows n = 1..141, flattened
Wikipedia, Symmetric Polynomials
EXAMPLE
Table starts as:
1;
2, 7;
3, 18, 55;
5, 50, 216, 631;
7, 118, 729, 2780, 8001;
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(b(n-i*j, i-1, k)*binomial(i+k-1, k-1)^j, j=0..n/i)))
end:
T:= (n, k)-> b(n$2, k):
seq(seq(T(n, k), k=1..n), n=1..10); # Alois P. Heinz, Mar 04 2016
MATHEMATICA
h[n_, v_] := Tr@ Apply[Times, Table[Subscript[x, j], {j, v}]^# & /@ Compositions[n, v], {1}]; h[par_?PartitionQ, v_] := Times @@ (h[#, v] & /@ par); Table[Tr[(h[#, k] & /@ Partitions[l]) /. Subscript[x, _] -> 1], {l, 10}, {k, l}]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Wouter Meeussen, Mar 11 2012
STATUS
approved