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.

A055194 Number of 3 X n binary matrices with distinct rows, up to row and column permutation; (n,3)-hypergraphs (including empty hyperedge but excluding multiple hyperedges).

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%I A055194 #14 Jul 02 2025 16:01:59
%S A055194 3,16,52,134,302,614,1159,2064,3504,5716,9018,13818,20643,30158,43190,
%T A055194 60758,84110,114746,154469,205422,270132,351562,453172,578962,733551,
%U A055194 922238,1151072,1426932,1757618,2151920,2619731,3172138,3821524,4581682,5467942,6497272,7688431
%N A055194 Number of 3 X n binary matrices with distinct rows, up to row and column permutation; (n,3)-hypergraphs (including empty hyperedge but excluding multiple hyperedges).
%H A055194 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (4,-4,-2,2,4,3,-12,3,4,2,-2,-4,4,-1).
%F A055194 G.f.: -x^2*(x^8-2*x^6-2*x^5+4*x^3-4*x-3)/((x^3-1)^2*(x^2-1)^2*(x-1)^4).
%F A055194 a(n) ~ n^7/30240. - _Stefano Spezia_, Nov 22 2023
%Y A055194 Cf. A002727.
%K A055194 easy,nonn
%O A055194 2,1
%A A055194 _Vladeta Jovovic_, Jun 30 2000
%E A055194 More terms from _James Sellers_, Jul 04 2000
%E A055194 a(35)-a(38) from _Stefano Spezia_, Nov 22 2023