login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A321925 Tetrangle where T(n,H(u),H(v)) is the coefficient of s(v) in m(u), where u and v are integer partitions of n, H is Heinz number, s is Schur functions, and m is monomial symmetric functions. 1
1, 1, -1, 0, 1, 1, -1, 1, 0, 1, -2, 0, 0, 1, 1, 0, -1, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1, -1, 2, 0, 0, 0, 1, -3, 0, 0, 0, 0, 1, 1, -1, 0, 0, 1, -1, 1, 0, 1, -1, 1, -1, 1, -2, 0, 0, 1, -1, -1, 2, -2, 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, -1, 1, -1, 3, 0, 0, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,11
COMMENTS
The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
LINKS
EXAMPLE
Tetrangle begins (zeroes not shown):
(1): 1
.
(2): 1 -1
(11): 1
.
(3): 1 -1 1
(21): 1 -2
(111): 1
.
(4): 1 -1 1 -1
(22): 1 -1 1
(31): -1 1 -1 2
(211): 1 -3
(1111): 1
.
(5): 1 -1 1 -1 1
(41): 1 -1 1 -1 1 -2
(32): 1 -1 -1 2 -2
(221): 1 -2 3
(311): -1 1 -1 3
(2111): 1 -4
(11111): 1
For example, row 14 gives: m(32) = s(32) - s(221) - s(311) + 2s(2111) - 2s(11111).
CROSSREFS
This is a regrouping of the triangle A321763.
Sequence in context: A335877 A125203 A023565 * A025922 A342322 A161369
KEYWORD
sign,tabf
AUTHOR
Gus Wiseman, Nov 22 2018
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 5 03:04 EST 2024. Contains 370537 sequences. (Running on oeis4.)