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%I #12 Oct 01 2021 22:26:09
%S 1,1,1,1,4,6,1,9,36,84,1,16,120,560,1820,1,25,300,2300,12650,53130,1,
%T 36,630,7140,58905,376992,1947792,1,49,1176,18424,211876,1906884,
%U 13983816,85900584,1,64,2016,41664,635376,7624512,74974368,621216192,4426165368
%N Triangle read by rows: T(n,k) = binomial(n^2, k), 0 <= k <= n.
%C A066382(n) = Sum_{k=0..n} T(n,k).
%H Nathaniel Johnston, <a href="/A090642/b090642.txt">Rows 0..100, flattened</a>
%e Triangle begins:
%e 1;
%e 1, 1;
%e 1, 4, 6;
%e 1, 9, 36, 84;
%e 1, 16, 120, 560, 1820;
%e 1, 25, 300, 2300, 12650, 53130;
%e 1, 36, 630, 7140, 58905, 376992, 1947792;
%e ...
%p for n from 0 to 6 do seq(binomial(n^2,k),k=0..n); od; # _Nathaniel Johnston_, Jun 24 2011
%Y Cf. A007318 (Pascal's triangle), A014062 (right diagonal).
%K nonn,tabl,easy
%O 0,5
%A _Reinhard Zumkeller_, Dec 13 2003
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