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A079628

Array of coefficients of P(n,x) = det (M(n,x)) where M(n,x) is the n X n matrix m(i,j)=x if i>j m(i,j)=1-x if i<=j.

1, 1, -1, 1, -3, 2, 1, -5, 8, -4, 1, -7, 18, -20, 8, 1, -9, 32, -56, 48, -16, 1, -11, 50, -120, 160, -112, 32, 1, -13, 72, -220, 400, -432, 256, -64, 1, -15, 98, -364, 840, -1232, 1120, -576, 128, 1, -17, 128, -560, 1568, -2912, 3584, -2816, 1280, -256, 1, -19, 162, -816, 2688, -6048, 9408, -9984, 6912, -2816, 512, 1

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OFFSET

0,5

COMMENTS

Formatted as a triangular array, this is [1, 0, 0, 0, 0, 0, 0, ...] DELTA [ -1, -1, 0, 0, 0, 0, 0, 0, ...] (see construction in A084938). - Philippe Deléham, Aug 09 2005

LINKS

Table of n, a(n) for n=0..66.

FORMULA

P(n, x)= (-1)^n*(x-1)*(2*x-1)^(n-1).

G.f.: (1+x*y)/(1+2*x*y-x). - R. J. Mathar, Aug 11 2015

EXAMPLE

det(M(4,x))=1-7x+18x^2-20x^3+8x^4.

1,-1;

1,-3,2;

1,-5,8,-4;

1,-7,18,-20,8;

1,-9,32,-56,48,-16;