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A321763
Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in m(u), where H is Heinz number, m is monomial symmetric functions, and s is Schur functions.
2
1, 1, 1, -1, 0, 1, 1, -1, 1, 0, 1, -2, 1, 0, -1, 1, -1, 0, 0, 1, 0, 1, 0, -1, 1, 0, -1, 1, -1, 2, 1, -1, 0, 0, 1, -1, 1, 0, 0, 0, 1, -3
OFFSET
1,12
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 -1
0 1
1 -1 1
0 1 -2
1 0 -1 1 -1
0 0 1
0 1 0 -1 1
0 -1 1 -1 2
1 -1 0 0 1 -1 1
0 0 0 1 -3
For example, row 10 gives: m(31) = -s(22) + s(31) - s(211) + 2s(1111).
KEYWORD
sign,more,tabf
AUTHOR
Gus Wiseman, Nov 20 2018
STATUS
approved