OFFSET
1,2
REFERENCES
Joanne Dombrowski, Tridiagonal matrix representations of cyclic selfadjoint operators, Pacific J. Math. 114, no. 2 (1984), 325-334
FORMULA
Recursive polynomial from a tridiagonal matrix version of A123965 ( first number different): p(k, x) = ((x - b(k - 1))*p(k - 1, x) - a(k - 2)*p(k - 2, x))/a(n - 1); a(n)=-1;b(n)=3;
MATHEMATICA
b[k_] = 3; a[k_] = -1; p[0, x] = 1; p[1, x] = (x - b[1])/a[1]; p[k_, x_] := p[k, x] = ((x - b[k - 1])*p[k - 1, x] - a[k - 2]*p[k - 2, x])/a[k - 1]; w = Table[CoefficientList[p[n, x], x], {n, 0, 10}]; Flatten[w]
CROSSREFS
KEYWORD
dead
AUTHOR
Roger L. Bagula, Oct 31 2006
STATUS
approved