cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A072888 Sum of the coefficients of the Schur function expansion of the square of the Vandermonde determinant in n variables.

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%I A072888 #8 Dec 06 2014 18:00:08
%S A072888 -2,-14,70,910,-7280,-138320,1521520,38038000,-532532000
%N A072888 Sum of the coefficients of the Schur function expansion of the square of the Vandermonde determinant in n variables.
%C A072888 The expansion is combinatorially explosive. The original output and further details are available from my website (see Links).
%D A072888 T. Scharf, J.-Y. Thibon and B. G. Wybourne, Powers of the Vandermonde determinant ... J.Phys.A:Mat.Gen. (27) 4211 (1994)
%H A072888 B. G. Wybourne, <a href="http://www.fizyka.umk.pl/~bgw/vanex.html">Expansion of the Squares of the Vandermonde Determinant</a>
%F A072888 I conjecture that a(n) = prod_{x=0..floor(n/2)} (-3x+1) * prod_{x=0..floor((n-1)/2)} (6x+1).
%e A072888 a(3) = -14 because V^2(x1,x2,x3) = {42} - 3{411} - 3{33} + 6{321} - 15{222}.
%o A072888 The expansions were evaluated using the program SCHUR.
%K A072888 hard,sign
%O A072888 2,1
%A A072888 Brian G Wybourne (bgw(AT)phys.uni.torun.pl), Jul 29 2002