OFFSET
1,1
COMMENTS
Row sums are all 4.
FORMULA
p(x.n)=16*x^(n + 1)*PolyLog[ -n, (1 - x)/(1 + x)]/((1 + x)*(1 - x)); t(n,m)=coefficients(p(x,n).
EXAMPLE
{4},
{4},
{6, 0, -2},
{12, 0, -8},
{30, 0, -30, 0, 4},
{90, 0, -120, 0, 34},
{315, 0, -525, 0, 231, 0, -17},
{1260, 0, -2520, 0, 1512, 0, -248},
{5670, 0, -13230, 0, 10080, 0, -2640, 0, 124},
{28350, 0, -75600, 0, 69930, 0, -25440, 0, 2764}
MATHEMATICA
Clear[w, p]; p[x_, n_] = 16*x^(n + 1)*PolyLog[ -n, (1 - x)/(1 + x)]/((1 + x)*(1 - x)); Table[FullSimplify[ExpandAll[p[x, n]]], {n, 1, 10}]; Table[CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x], {n, 1, 10}]; Flatten[%]
CROSSREFS
KEYWORD
sign,uned
AUTHOR
Roger L. Bagula and Gary W. Adamson, Sep 15 2008
STATUS
approved