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 A321750 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of m(v) in p(u), where H is Heinz number, m is monomial symmetric functions, and p is power sum symmetric functions. 9
 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 3, 6, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 6, 4, 12, 24, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 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). LINKS Wikipedia, Symmetric polynomial EXAMPLE Triangle begins:    1    1    1   0    1   2    1   0   0    1   1   0    1   0   0   0   0    1   3   6    1   2   0   0   0    1   0   1   0   0    1   0   0   0   0   0   0    1   2   2   2   0    1   0   0   0   0   0   0   0   0   0   0    1   1   0   0   0   0   0    1   0   1   0   0   0   0    1   6   4  12  24    1   0   0   0   0   0   0   0   0   0   0   0   0   0   0    1   1   2   2   0   0   0 For example, row 18 gives: p(221) = m(5) + 2m(32) + m(41) + 2m(221). CROSSREFS Row sums are A321751. Cf. A005651, A008277, A008480, A048994, A056239, A124794, A124795, A319182, A319191, A321742-A321765. Sequence in context: A035227 A328556 A321888 * A345374 A056929 A304096 Adjacent sequences:  A321747 A321748 A321749 * A321751 A321752 A321753 KEYWORD nonn,tabf AUTHOR Gus Wiseman, Nov 20 2018 STATUS approved

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Last modified January 18 09:26 EST 2022. Contains 350454 sequences. (Running on oeis4.)