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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.

A055537 Number of asymmetric types of (4,n)-hypergraphs under action of symmetric group S_4.

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%I A055537 #8 Jul 02 2025 16:01:59
%S A055537 7,64,352,1485,5245,16290,45830,119042,289367,664878,1455136,3051762,
%T A055537 6163153,12033700,22792660,41997387,75463460,132510654,227803866,
%U A055537 384031745,635752338,1034842530,1658130458,2617965384,4076707044
%N A055537 Number of asymmetric types of (4,n)-hypergraphs under action of symmetric group S_4.
%F A055537 G.f.: (1/(1-x)^16-6/(1-x)^8/(1-x^2)^4-3/(1-x)^4/(1-x^2)^6+8/(1-x)^4/(1-x^3)^4+2/(1-x)^2/(1-x^2)^3/(1-x^4)^2+6/(1-x)^4/(1-x^2)^4/(1-x^4)-8/(1-x)^2/(1-x^4)^2/(1-x^6))/24
%e A055537 There are 7 asymmetric (4,3)-hypergraphs: {{1,2},{1,2,3},{1,3,4}}, {{1,2},{1,3},{1,2,4}}, {{1,2},{1,2},{1,3}}, {{1},{1,2},{1,2,3}}, {{1},{2,3},{1,2,4}}, {{1},{1,2},{2,3}}, {{1},{2},{1,3}}.
%Y A055537 Cf. A006148.
%K A055537 nonn
%O A055537 3,1
%A A055537 _Vladeta Jovovic_, Jul 09 2000
%E A055537 More terms from _James Sellers_, Jul 11 2000