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A072888
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Sum of the coefficients of the Schur function expansion of the square of the Vandermonde determinant in n variables.
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2
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OFFSET
| 2,1
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COMMENTS
| The expansion is combinatorially explosive. The original output is available from my website given above as well as further details.
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REFERENCES
| T Scharf, J-Y Thibon and B G Wybourne, Powers of the Vandermonde determinant ... J.Phys.A:Mat.Gen. (27) 4211 (1994)
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LINKS
| B G Wybourne, Title?
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FORMULA
| I conjecture that $$a(n)= \prod_{x=0}^{[n/2]}(-3x+1)\prod_{x=0}^{[(n-1)/2]}(6x+1)
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EXAMPLE
| a(3) = -14 because V^2(x1,x2,x3) = {42}-3{411}-3{33}+6{321}-15{222}
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PROG
| The expansions were evaluated using the programme SCHUR.
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CROSSREFS
| Sequence in context: A086243 A206947 A203241 * A171012 A094583 A002058
Adjacent sequences: A072885 A072886 A072887 * A072889 A072890 A072891
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KEYWORD
| hard,sign
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AUTHOR
| Brian G Wybourne (bgw(AT)phys.uni.torun.pl), Jul 29 2002
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