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A321929
Tetrangle where T(n,H(u),H(v)) is the coefficient of f(v) in s(u), where u and v are integer partitions of n, H is Heinz number, f is forgotten symmetric functions, and s is Schur functions.
0
1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 3, 0, 1, 1, 2, 3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 1, 0, 2, 5, 0, 0, 1, 2, 1, 3, 5, 0, 0, 0, 1, 1, 3, 6, 0, 1, 1, 2, 2, 3, 4, 1, 1, 1, 1, 1, 1
OFFSET
1,11
COMMENTS
The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
EXAMPLE
Tetrangle begins (zeros not shown):
(1): 1
.
(2): 1
(11): 1 1
.
(3): 1
(21): 1 2
(111): 1 1 1
.
(4): 1
(22): 1 1 2
(31): 1 3
(211): 1 1 2 3
(1111): 1 1 1 1 1
.
(5): 1
(41): 1 4
(32): 1 2 5
(221): 1 2 1 3 5
(311): 1 1 3 6
(2111): 1 1 2 2 3 4
(11111): 1 1 1 1 1 1 1
For example, row 14 gives: s(32) = f(221) + 2f(2111) + 5f(11111).
CROSSREFS
This is a regrouping of the triangle A321892.
Sequence in context: A086072 A086009 A086010 * A089198 A059607 A176724
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, Nov 23 2018
STATUS
approved