OFFSET
1,5
COMMENTS
The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
Also the coefficient of f(v) in e(u), where f is forgotten symmetric functions and e is elementary symmetric functions.
LINKS
EXAMPLE
Tetrangle begins:
(1): 1
.
(2): 1 1
(11): 1 2
.
(3): 1 1 1
(21): 1 2 3
(111): 1 3 6
.
(4): 1 1 1 1 1
(22): 1 3 2 4 6
(31): 1 2 2 3 4
(211): 1 4 3 7 12
(1111): 1 6 4 12 24
.
(5): 1 1 1 1 1 1 1
(41): 1 2 2 3 3 4 5
(32): 1 2 3 5 4 7 10
(221): 1 3 5 11 8 18 30
(311): 1 3 4 8 7 13 20
(2111): 1 4 7 18 13 33 60
(11111): 1 5 10 30 20 60 20
For example, row 14 gives: h(32) = m(5) + 3m(32) + 2m(41) + 5m(221) + 4m(311) + 7m(2111) + 10m(11111).
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, Nov 22 2018
STATUS
approved