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.

A092794 Number of connected relations.

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%I A092794 #15 Oct 07 2017 02:59:17
%S A092794 1,21,265,2733,25441,223461,1895545,15736413,128882641,1046542101,
%T A092794 8451838825,68020609293,546227922241,4380272835141,35094966838105,
%U A092794 281025802973373,2249545355064241,18003091856638581,144058517372685385,1152637601335180653
%N A092794 Number of connected relations.
%H A092794 G. C. Greubel, <a href="/A092794/b092794.txt">Table of n, a(n) for n = 1..1000</a>
%H A092794 G. Kilibarda and V. Jovovic, <a href="https://arxiv.org/abs/1411.4187">Enumeration of some classes of T_0-hypergraphs</a>, arXiv:1411.4187 [math.CO], 2014.
%H A092794 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-92,160).
%F A092794 a(n) = 8^n - 3*5^n + 2*4^n.
%F A092794 From _Colin Barker_, Jul 13 2013: (Start)
%F A092794 a(n) = 17*a(n-1) - 92*a(n-2) + 160*a(n-3).
%F A092794 G.f.: x*(4*x+1) / ((1-4*x)*(1-5*x)*(1-8*x)). (End)
%t A092794 CoefficientList[Series[-x*(4*x + 1)/((4*x - 1)*(5*x - 1)*(8*x - 1)), {x, 0, 50}], x] (* _G. C. Greubel_, Oct 05 2017 *)
%o A092794 (PARI) x='x+O('x^50); Vec(x*(4*x+1)/((1-4*x)*(1-5*x)*(1-8*x))) \\ _G. C. Greubel_, Oct 05 2017
%Y A092794 Cf. A005333, A001047, A002501, A002502, A093732, A093733.
%K A092794 nonn,easy
%O A092794 1,2
%A A092794 Goran Kilibarda, _Vladeta Jovovic_, Apr 15 2004
%E A092794 Additional term from _Colin Barker_, Jul 13 2013