OFFSET
0,3
COMMENTS
The polynomial p(n,x) is the numerator of the rational function given by f(n,x) = 2*x + 1 + 2*x/f(n-1,x), where f(0,x) = 1.
LINKS
Clark Kimberling, Rows 0..100, flattened
EXAMPLE
f(0,x) = 1/1, so that p(0,x) = 1
f(1,x) = (1 + 4 x)/1, so that p(1,x) = 1 + 4 x;
f(2,x) = (1 + 8 x + 8 x^2)/(1 + 4 x), so that p(2,x) = 1 + 8 x + 8 x^2.
First 6 rows of the triangle of coefficients:
1
1 4
1 8 8
1 12 32 16
1 16 72 96 32
1 20 128 304 256 64
MATHEMATICA
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Oct 24 2014
STATUS
approved