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A321759
Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in h(u), where H is Heinz number, h is homogeneous symmetric functions, and s is Schur functions.
1
1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0
OFFSET
1,19
COMMENTS
Row n has length A000041(A056239(n)).
The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
EXAMPLE
Triangle begins:
1
1
1 0
1 1
1 0 0
1 1 0
1 0 0 0 0
1 2 1
1 1 1 0 0
1 0 1 0 0
1 0 0 0 0 0 0
1 1 2 1 0
For example, row 12 gives: h(211) = s(4) + s(22) + 2s(31) + s(211).
KEYWORD
nonn,more,tabf
AUTHOR
Gus Wiseman, Nov 20 2018
STATUS
approved