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 A096130 #23 Aug 19 2018 08:19:25
%S A096130 1,1,6,1,20,84,1,70,495,1820,1,252,3003,15504,53130,1,924,18564,
%T A096130 134596,593775,1947792,1,3432,116280,1184040,6724520,26978328,
%U A096130 85900584,1,12870,735471,10518300,76904685,377348994,1420494075,4426165368,1,48620,4686825,94143280,886163135,5317936260,23667689815,85113005120,260887834350
%N A096130 Triangle read by rows: T(n,k) = binomial(k*n,n), 1 <= k <= n.
%H A096130 Seiichi Manyama, <a href="/A096130/b096130.txt">Rows n = 1..140, flattened</a>
%F A096130 T(n, 1) = 1;
%F A096130 T(n, 2) = A000984(n) for n > 1;
%F A096130 T(n, 3) = A005809(n) for n > 2;
%F A096130 T(n, 4) = A005810(n) for n > 3;
%F A096130 T(n, n) = A014062(n).
%e A096130 Triangle begins:
%e A096130 1;
%e A096130 1, 6;
%e A096130 1, 20, 84;
%e A096130 1, 70, 495, 1820;
%e A096130 1, 252, 3003, 15504, 53130;
%e A096130 ...
%p A096130 a:=(n,k)->binomial(k*n,n): seq(seq(a(n,k),k=1..n),n=1..10); # _Muniru A Asiru_, Aug 12 2018
%o A096130 (PARI) tabl(nrows) = {for (n=1, nrows, for (k=1, n, print1(binomial(k*n, n), ", ");); print(););} \\ _Michel Marcus_, May 14 2013
%o A096130 (GAP) Flat(List([1..10],n->List([1..n],k->Binomial(k*n,n)))); # _Muniru A Asiru_, Aug 12 2018
%Y A096130 Row-sums give A096131. The leading diagonal is A014062. Cf. A096131.
%Y A096130 Cf. A007318.
%K A096130 nonn,tabl
%O A096130 1,3
%A A096130 _Amarnath Murthy_, Jul 04 2004
%E A096130 Corrected and extended by _Reinhard Zumkeller_, Jan 09 2005