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
T(0,0)=1, T(n,k) = T(n-1,k)*(16*n-4)/(n+k), T(n,k) = T(n,k-1)*(16*k-12)/(n+k).
G.f.: (x/(1-16*x)^(3/4)+y/(1-16*y)^(1/4))/(x+y-16*x*y).
EXAMPLE
T(0..4, 0..4) is:
1 4 40 480 6240
12 24 160 1440 14976
168 224 1120 8064 69888
2464 2464 9856 59136 439296
36960 29568 98560 506880 3294720
CROSSREFS
KEYWORD
AUTHOR
Tom Richardson, Oct 04 2014
STATUS
approved