OFFSET
1,2
EXAMPLE
First 3 rows:
1 .... 2
5 .... 4 .... 4
9 .... 22 ... 12 ... 8
First 3 polynomials: 1 + 2*x, 5 + 4*x + 4*x^2, 9 + 22*x + 12*x^2 + 8*x^3.
MATHEMATICA
t[n_] := t[n] = Table[x + 1/2, {k, 0, n}];
b = Table[Factor[Convergents[t[n]]], {n, 0, 10}];
p[x_, n_] := p[x, n] = Last[Expand[Numerator[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