OFFSET
0,2
COMMENTS
LINKS
Thomas M. Richardson, The Super Patalan Numbers, arXiv:1410.5880 [math.CO], 2014.
Thomas M. Richardson, The Super Patalan Numbers, Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.3.
FORMULA
a(0,0)=1, a(n,k) = a(n-1,k)*(9*n-3)/(n+k), a(n,k) = a(n,k-1)*(9*k-6)/(n+k).
G.f.: ((x/(1-9*x)^(2/3)+y/(1-9*y)^(1/3))/(x+y-9*x*y).
EXAMPLE
a(0..4,0..4) is:
1 3 18 126 945
6 9 36 189 1134
45 45 135 567 2835
360 270 648 2268 9720
2970 1782 3564 10692 40095
CROSSREFS
KEYWORD
AUTHOR
Tom Richardson, Oct 04 2014
STATUS
approved