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A321921
Tetrangle where T(n,H(u),H(v)) is the coefficient of s(v) in e(u), where u and v are integer partitions of n, H is Heinz number, s is Schur functions, and e is elementary symmetric functions.
0
1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 3, 3, 3, 1, 1, 4, 5, 5, 6, 4
OFFSET
1,13
COMMENTS
The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
EXAMPLE
Tetrangle begins (zeroes not shown):
(1): 1
.
(2): 1
(11): 1 1
.
(3): 1
(21): 1 1
(111): 1 2 1
.
(4): 1
(22): 1 1 1
(31): 1 1
(211): 1 1 2 1
(1111): 1 2 3 3 1
.
(5): 1
(41): 1 1
(32): 1 1 1
(221): 1 2 1 2 1
(311): 1 1 2 1
(2111): 1 2 3 3 3 1
(11111): 1 4 5 5 6 4 1
For example, row 14 gives: e(32) = s(221) + s(2111) + s(11111).
CROSSREFS
This is a regrouping of the triangle A321756.
Sequence in context: A302721 A321740 A098082 * A236419 A114448 A068933
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, Nov 22 2018
STATUS
approved