OFFSET
0,3
COMMENTS
The polynomial p(n,x) is the numerator of the rational function given by f(n,x) = 2 x + 1 + x/f(n-1,x), where f(0,x) = 1.
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..5150
EXAMPLE
f(0,x) = 1/1, so that p(0,x) = 1
f(1,x) = (1 + 3 x)/1, so that p(1,x) = 1 + 3 x;
f(2,x) = (1 + 6 x + 3 x^2)/(1 + 3 x), so that p(2,x) = 1 + 6 x + 3 x^2.
First 6 rows of the triangle of coefficients:
1
1 3
1 6 6
1 9 21 12
1 12 45 60 24
1 15 78 171 156 48
MATHEMATICA
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Oct 24 2014
STATUS
approved