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.

A331510 Array read by antidiagonals: A(n,k) is the number of nonequivalent binary matrices with k columns and any number of distinct nonzero rows with n ones in every column up to permutation of rows and columns.

This page as a plain text file.
%I A331510 #15 Feb 09 2020 02:43:15
%S A331510 1,1,1,1,1,1,1,2,0,1,1,3,1,0,1,1,5,4,0,0,1,1,7,12,3,0,0,1,1,11,36,23,
%T A331510 1,0,0,1,1,15,124,191,30,0,0,0,1,1,22,412,2203,837,23,0,0,0,1,1,30,
%U A331510 1500,31313,41664,2688,12,0,0,0,1
%N A331510 Array read by antidiagonals: A(n,k) is the number of nonequivalent binary matrices with k columns and any number of distinct nonzero rows with n ones in every column up to permutation of rows and columns.
%F A331510 A(n,k) = 0 for k > 0, n > 2^(k-1).
%F A331510 A(n,k) = A(2^(k-1) - n, k) for k > 0, n <= 2^(k-1).
%e A331510 Array begins:
%e A331510 =================================
%e A331510 n\k | 0 1 2 3  4   5    6   7
%e A331510 ----+----------------------------
%e A331510   0 | 1 1 1 1  1   1    1   1 ...
%e A331510   1 | 1 1 2 3  5   7   11  15 ...
%e A331510   2 | 1 0 1 4 12  36  124 412 ...
%e A331510   3 | 1 0 0 3 23 191 2203 ...
%e A331510   4 | 1 0 0 1 30 837 ...
%e A331510   5 | 1 0 0 0 23 ...
%e A331510   ...
%e A331510 The A(2,3) = 4 matrices are:
%e A331510   [1 1 1]  [1 1 0]  [1 1 1]  [1 1 0]
%e A331510   [1 0 0]  [1 0 1]  [1 1 0]  [1 0 1]
%e A331510   [0 1 0]  [0 1 0]  [0 0 1]  [0 1 1]
%e A331510   [0 0 1]  [0 0 1]
%Y A331510 Rows n=1..3 are A000041, A331717, A331718.
%Y A331510 Column k=5 is A331719.
%Y A331510 Cf. A188445, A330942, A331461, A331508, A331509.
%K A331510 nonn,tabl,more
%O A331510 0,8
%A A331510 _Andrew Howroyd_, Jan 18 2020
%E A331510 a(58)-a(65) from _Andrew Howroyd_, Feb 08 2020