The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A321765 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in p(u), where H is Heinz number, p is power sum symmetric functions, and s is Schur functions. 40
 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 0, -1, 1, 0, -1, 1, -1, 1, 2, 1, 1, 2, -1, -1, 1, 1, -1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 1, 1, 0, 1, -1, -1, 1, 0, -1, 0, 0, 1, 0, 0, -1, 1, -1, 1, 0, -1, 1, 0, 0, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,19 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 Wikipedia, Symmetric polynomial EXAMPLE Triangle begins:    1    1    1  -1    1   1    1  -1   1    1   0  -1    1   0  -1   1  -1    1   2   1    1   2  -1  -1   1    1  -1   0   0   1    1  -1   0   0   1  -1   1    1   0   1  -1  -1    1   0  -1   0   0   1   0   0  -1   1  -1    1   0  -1   1   0   0  -1 For example, row 12 gives: p(211) = s(4) + s(31) - s(211) - s(1111). CROSSREFS Row sums are A317554. Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296188, A296561, A300121, A304438, A317552, A317554, A321742-A321765. Sequence in context: A015776 A176047 A067461 * A328310 A136673 A283149 Adjacent sequences:  A321762 A321763 A321764 * A321766 A321767 A321768 KEYWORD sign,tabf,more AUTHOR Gus Wiseman, Nov 20 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 21 04:53 EST 2020. Contains 331104 sequences. (Running on oeis4.)