cp's OEIS Frontend

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.

A260340 Triangle read by rows: T(n,k) = number of sets of linear n-ads in k variables.

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%I A260340 #14 Apr 18 2020 17:15:14
%S A260340 1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,22,22,1,1,1,1,130,550,130,1,1,1,1,
%T A260340 822,16700,16700,822,1,1,1,1,6202,703297,3330915,703297,6202,1,1,1,1,
%U A260340 52552,38135272,957659906,957659906,38135272,52552,1,1
%N A260340 Triangle read by rows: T(n,k) = number of sets of linear n-ads in k variables.
%C A260340 T(n,k) is the number of nonequivalent n X n binary matrices with k ones in every row and column up to permutation of rows. - _Andrew Howroyd_, Apr 18 2020
%H A260340 Andrew Howroyd, <a href="/A260340/b260340.txt">Table of n, a(n) for n = 0..230</a> (rows 0..20)
%H A260340 P. A. MacMahon, <a href="http://plms.oxfordjournals.org/content/s2-17/1/25.extract">Combinations derived from m identical sets of n different letters and their connexion with general magic squares</a>, Proc. London Math. Soc., 17 (1917), 25-41.
%F A260340 T(n,k) = T(n,n-k). - _Andrew Howroyd_, Apr 18 2020
%e A260340 Triangle begins:
%e A260340   1;
%e A260340   1, 1;
%e A260340   1, 1,    1;
%e A260340   1, 1,    1,      1;
%e A260340   1, 1,    6,      1,       1;
%e A260340   1, 1,   22,     22,       1,      1;
%e A260340   1, 1,  130,    550,     130,      1,    1;
%e A260340   1, 1,  822,  16700,   16700,    822,    1, 1;
%e A260340   1, 1, 6202, 703297, 3330915, 703297, 6202, 1, 1;
%e A260340   ...
%Y A260340 Columns k=0..4 are A000012, A000012, A002137, A333899, A333900.
%Y A260340 Row sums are A333891.
%Y A260340 Cf. A008300, A133687, A257463.
%K A260340 nonn,tabl
%O A260340 0,13
%A A260340 _N. J. A. Sloane_, Jul 30 2015
%E A260340 Extended to include k=0 and more terms added by _Andrew Howroyd_, Apr 18 2020