cp's OEIS Frontend

A090642 Triangle read by rows: T(n,k) = binomial(n^2, k), 0 <= k <= n.

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