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A321892 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of f(v) in s(u), where H is Heinz number, f is forgotten symmetric functions, and s is Schur functions. 3
1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 1, 0, 2, 5 (list; graph; refs; listen; history; text; internal format)
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).
LINKS
EXAMPLE
Triangle begins:
1
1
0 1
1 1
0 0 1
0 1 2
0 0 0 0 1
1 1 1
0 1 0 1 2
0 0 0 1 3
0 0 0 0 0 0 1
0 1 1 2 3
0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 1 4
0 0 0 1 0 2 5
For example, row 15 gives: s(32) = f(221) + 2f(2111) + 5f(11111).
CROSSREFS
Row sums are A321893.
Sequence in context: A357374 A264048 A101257 * A225542 A227009 A144629
KEYWORD
nonn,more,tabf
AUTHOR
Gus Wiseman, Nov 20 2018
STATUS
approved

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Last modified March 28 13:19 EDT 2024. Contains 371254 sequences. (Running on oeis4.)