OFFSET
1,7
EXAMPLE
First 3 rows:
1 . . . 1
1 . . . 1 . . . 1 . . . 1
2 . . . 4 . . . 5 . . . 3 . . . 1 . . . 1 . . . 1
First 3 polynomials: 1 + x, 1 + x + x^2 + x^3, 2 + 4*x + 5*x^2 + 3*x^3 + x^4 + x^5.
MATHEMATICA
t[n_] := t[n] = Table[(1 + x^2)/(1 + x), {k, 0, n}];
b = Table[Factor[Convergents[t[n]]], {n, 0, 10}];
p[x_, n_] := p[x, n] = Last[Expand[Denominator[b]]][[n]];
u = Table[p[x, n], {n, 1, 10}]
v = CoefficientList[u, x]; Flatten[v]
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Nov 13 2013
STATUS
approved