This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A248325 #26 Nov 11 2024 03:57:02 %S A248325 1,4,12,40,24,168,480,160,224,2464,6240,1440,1120,2464,36960,84864, %T A248325 14976,8064,9856,29568,561792,1188096,169728,69888,59136,98560,374528, %U A248325 8614144,16972800,2036736,678912,439296,506880,1070080,4922368,132903936,246105600,25459200,7128576,3734016,3294720,4815360 %N A248325 Square array read by antidiagonals downwards: super Patalan numbers of order 4. %C A248325 Generalization of super Catalan numbers of Gessel, A068555, based on Patalan numbers of order 4, A025749. %H A248325 Thomas M. Richardson, <a href="http://arxiv.org/abs/1410.5880">The Super Patalan Numbers</a>, arXiv:1410.5880 [math.CO], 2014. %H A248325 Thomas M. Richardson, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Richardson/rich2.html">The Super Patalan Numbers</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.3. %F A248325 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). %F A248325 G.f.: (x/(1-16*x)^(3/4)+y/(1-16*y)^(1/4))/(x+y-16*x*y). %e A248325 T(0..4, 0..4) is: %e A248325 1 4 40 480 6240 %e A248325 12 24 160 1440 14976 %e A248325 168 224 1120 8064 69888 %e A248325 2464 2464 9856 59136 439296 %e A248325 36960 29568 98560 506880 3294720 %Y A248325 Cf. A068555, A025749, A216702 (first column), A034385 (first row), A248324. %K A248325 nonn,tabl,easy %O A248325 0,2 %A A248325 _Tom Richardson_, Oct 04 2014