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A094630 Number of 3-uniform T_0-covers on n vertices. 3

%I #10 Jan 29 2020 14:07:00

%S 1,0,0,0,5,893,1039947,34351783511,72057317345649377,

%T 19342812465159881755696499,1329227995591486918148744122456237749,

%U 46768052394574271874021714673583968385714779097997,1684996666696914425950059618212919561731019777110516294609942096153

%N Number of 3-uniform T_0-covers on n vertices.

%H Andrew Howroyd, <a href="/A094630/b094630.txt">Table of n, a(n) for n = 0..25</a>

%F E.g.f.: exp(-x+x^2/2+x^3/3)*Sum_{n>=0} (2^binomial(n, 3)*exp(-2^(n-1)*x^2)*x^n/n!.

%o (PARI) seq(n)={Vec(serlaplace(exp(-x + x^2/2 + x^3/3 + O(x*x^n))*sum(k=0, n, 2^binomial(k, 3)*exp(-2^(k-1)*x^2 + O(x*x^(n-k)))*x^k/k!)))} \\ _Andrew Howroyd_, Jan 29 2020

%Y Cf. A094631, A059530, A060070.

%K nonn

%O 0,5

%A Goran Kilibarda, _Vladeta Jovovic_, May 15 2004

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)