OFFSET
0,2
COMMENTS
The polynomial p(n,x) is the numerator of the rational function given by f(n,x) = n + 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) = (12 + 5 x)/1, so that p(1,x) = 12 + 5 x;
f(2,x) = (60 + 28 x + x^2)/(1 + 4 x), so that p(2,x) = 60 + 28 x + x^2.
First 6 rows of the triangle of coefficients:
1
3 1
12 5
60 28 1
360 180 11
2520 1320 105 1
MATHEMATICA
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Clark Kimberling, Oct 24 2014
STATUS
approved