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.

A218186 Number of rows with the value true in the truth tables of all bracketed formulas with n distinct propositions p_1, ..., p_n connected by the binary connective of m-implication (case 1).

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%I A218186 #21 Nov 22 2023 06:42:10
%S A218186 0,0,1,6,37,234,1514,9996,67181,458562,3172478,22206420,157027938,
%T A218186 1120292388,8055001716,58314533400,424740506109,3110401363122,
%U A218186 22888001498102,169155516667524,1255072594261142,9345400450314924,69812926066668044,523072984217339304,3929809142578361938,29598511892723647860
%N A218186 Number of rows with the value true in the truth tables of all bracketed formulas with n distinct propositions p_1, ..., p_n connected by the binary connective of m-implication (case 1).
%H A218186 Volkan Yildiz, <a href="http://arxiv.org/abs/1205.5595">General combinatorical structure of truth tables of bracketed formulas connected by implication</a>, arXiv preprint arXiv:1205.5595 [math.CO], 2012.
%F A218186 Yildiz gives a g.f.
%F A218186 G.f.: (1-6*x-sqrt((1-4*x)*(1-8*x)))/2. - _Michel Marcus_, Oct 21 2020
%F A218186 D-finite with recurrence n*a(n) +(n+5)*a(n-1) +(n+44)*a(n-2) +(n+331)*a(n-3) +10*(-902*n+3859)*a(n-4) +34720*(n-6)*a(n-5)=0. - _R. J. Mathar_, Nov 22 2023
%o A218186 (PARI) my(x='x+O('x^30)); concat([0,0], Vec((1-6*x-sqrt((1-4*x)*(1-8*x)))/2)) \\ _Michel Marcus_, Oct 21 2020
%Y A218186 Essentially the same as A025230.
%K A218186 nonn
%O A218186 0,4
%A A218186 _N. J. A. Sloane_, Oct 23 2012
%E A218186 a(6) corrected by _Georg Fischer_, Jun 07 2021