OFFSET
0,1
COMMENTS
Coefficients are ordered along increasing exponents [x^k], k=0,...,floor((n+1)/2).
Row sums are 2, 3, 4, 4, 4, -2, -8, -24, -40, -28, -16,..
FORMULA
EXAMPLE
{2}, = 2
{1, 2}, = 1+2x
{0, 4}, = 4x^2
{-2, 2, 4}, = -2+2x+4x^2
{-4, 0, 8}, = -4+8x^2
{-2, -12, 4, 8},
{0, -24, 0, 16},
{12, -12, -48, 8, 16},
{24, 0, -96, 0, 32},
{12, 120, -48, -160, 16, 32},
{0, 240, 0, -320, 0, 64}.
MAPLE
MATHEMATICA
Clear[p, x] p[x, 0] = 2*HermiteH[0, x]; p[x, 1] = HermiteH[0, x] + HermiteH[1, x]; p[x, 2] = 2*HermiteH[1, x]; p[x_, m_] := p[x, m] = If[Mod[m, 2] == 0, 2*HermiteH[Floor[m/2], x], HermiteH[ Floor[m/2], x] + HermiteH[Floor[m/ 2 + 1], x]];
Table[ExpandAll[p[x, n]], {n, 0, 10}]; a = Table[CoefficientList[p[x, n], x], {n, 0, 10}];
Flatten[a] Table[Apply[Plus, CoefficientList[p[x, n], x]], {n, 0, 10}]
CROSSREFS
KEYWORD
sign,tabf
AUTHOR
Roger L. Bagula, Jun 05 2008
EXTENSIONS
Edited by the Associate Editors of the OEIS, Aug 28 2009
STATUS
approved