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.

A056079 Number of 7 X 7 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.

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%I A056079 #10 Apr 14 2022 21:46:34
%S A056079 1,2,15,79,420,1744,6197,18715,50042,118121,250025,475791,820987,
%T A056079 1287695,1845875,2423114,2923474,3246721,3327677,3150758,2761802,
%U A056079 2242711,1690526,1183725,771951,469281,267108,142542,71844,34271,15685,6861,2948,1223,513,209,90,34,16,6,3,1,1
%N A056079 Number of 7 X 7 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.
%C A056079 Sum_{k=0..49} a(n)=A054976(7).
%F A056079 G.f. : Z(S_7 X S_7; x_1, x_2, ...)-2*Z(S_7 X S_6; x_1, x_2, ...)+Z(S_6 X S_6; x_1, x_2, ...) if we replace x_i by 1+x^i, where Z(S_i X S_j; x_1, x_2, ...) is cycle index of Cartesian product of symmetric groups S_i and S_j of degree i and j, respectively.
%Y A056079 Cf. A053304.
%K A056079 fini,full,nonn
%O A056079 7,2
%A A056079 _Vladeta Jovovic_, Aug 04 2000
%E A056079 More terms from _Sean A. Irvine_, Apr 14 2022