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.
%I A378796 #23 Dec 19 2024 17:34:33
%S A378796 1,6,15,44,125,370,1099,3288,9849,29534,88583,265732,797173,2391498,
%T A378796 7174467,21523376,64570097,193710262,581130751,1743392220,5230176621,
%U A378796 15690529826,47071589435,141214768264,423644304745,1270932914190,3812798742519,11438396227508,34315188682469,102945566047354
%N A378796 Number of minimal edge cuts in the n-sun graph.
%C A378796 The sequence has been extended to n=1 using the formula. - _Andrew Howroyd_, Dec 12 2024
%H A378796 Andrew Howroyd, <a href="/A378796/b378796.txt">Table of n, a(n) for n = 1..1000</a>
%H A378796 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimalEdgeCut.html">Minimal Edge Cut</a>.
%H A378796 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SunGraph.html">Sun Graph</a>.
%H A378796 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-4,3).
%F A378796 a(n) = (3^n + (-1)^n)/2 + n - 1 = A046717(n) + n - 1. - _Andrew Howroyd_, Dec 12 2024
%F A378796 G.f.: x*(-1-2*x+7*x^2)/((-1+x)^2*(-1+2*x+3*x^2)). - _Eric W. Weisstein_, Dec 18 2024
%F A378796 E.g.f.: exp(x)*(cosh(2*x) - 1 + x). - _Stefano Spezia_, Dec 19 2024
%t A378796 Table[((-1)^n + 3^n + 2 n - 2)/2, {n, 20}]
%t A378796 LinearRecurrence[{4, -2, -4, 3}, {1, 6, 15, 44}, 20]
%t A378796 CoefficientList[Series[(-1 - 2 x + 7 x^2)/((-1 + x)^2 (-1 + 2 x + 3 x^2)), {x, 0, 20}], x]
%o A378796 (PARI) a(n) = (3^n + (-1)^n)/2 + n - 1 \\ _Andrew Howroyd_, Dec 12 2024
%Y A378796 Cf. A046717, A377770.
%K A378796 nonn,easy
%O A378796 1,2
%A A378796 _Eric W. Weisstein_, Dec 07 2024
%E A378796 a(1)-a(2) prepended and a(7) onwards from _Andrew Howroyd_, Dec 12 2024