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A005748 Number of n-covers of an unlabeled 7-set.
(Formerly M5098)
19

%I M5098 #22 Feb 28 2023 22:25:07

%S 1,20,348,6093,108182,1890123,31500927,490890277,7086257602,

%T 94548676765,1167995082810,13406707973018,143598707530374,

%U 1441525802509250,13619352767824724,121574625625030584,1029031775725235400,8285521569322196569,63648858792893665714

%N Number of n-covers of an unlabeled 7-set.

%C Number of n X 7 binary matrices with at least one 1 in every column up to row and column permutations. - _Andrew Howroyd_, Feb 28 2023

%D R. J. Clarke, Covering a set by subsets, Discrete Math., 81 (1990), 147-152.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Andrew Howroyd, <a href="/A005748/b005748.txt">Table of n, a(n) for n = 1..1000</a>

%H Vladeta Jovovic, <a href="/A005748/a005748.pdf">Binary matrices up to row and column permutations</a>

%o (PARI) Vec(G(7, x) - G(6, x) + O(x^30)) \\ G defined in A028657. - _Andrew Howroyd_, Feb 28 2023

%Y A diagonal of A055080.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, _Simon Plouffe_

%E Corrected and extended by _Vladeta Jovovic_, Jun 13 2000

%E Terms a(17) and beyond from _Andrew Howroyd_, Feb 28 2023

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Last modified May 9 23:14 EDT 2024. Contains 372354 sequences. (Running on oeis4.)