OFFSET
0,7
COMMENTS
Deleting the 0's leaves A008288 (Delannoy numbers as a triangle). If r is a zero of p(n,x) then (1/2)(r +- sqrt(r^2 - 4) are zeros of q(n,x).
EXAMPLE
First 4 rows:
1
1 0 1
1 0 3 0 1
1 0 5 0 5 0 1
MATHEMATICA
p[n_, x_] := p[x] = Fibonacci[n, x]; Table[p[n, x], {n, 1, 10}]
f[n_, x_] := f[n, x] = Expand[Numerator[Factor[p[n, x] /. x -> x + 1/x]]]
g[n_, x_] := g[n, x] = Expand[Numerator[Factor[p[n, x] /. x -> x - 1/x]]]
h[n_, x_] := h[n, x] = Expand[Numerator[Factor[p[n, x] /. x -> x + 1 + 1/x]]]
t1 = Flatten[Table[CoefficientList[f[n, x], x], {n, 1, 12}]]; (* A229995 *)
t2 = Flatten[Table[CoefficientList[g[n, x], x], {n, 1, 12}]]; (* A230002 *)
t3 = Flatten[Table[CoefficientList[h[n, x], x], {n, 1, 12}]]; (* A059317 *)
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Clark Kimberling, Nov 07 2013
STATUS
approved