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 A163941 #18 Feb 27 2020 11:47:11 %S A163941 1,9,52,246,1039,4083,15274,55152,193957,668397,2266816,7589418, %T A163941 25143355,82571751,269173078,871958244,2809322833,9008574945, %U A163941 28768068460,91532284830,290283189991,917912770779,2894936303362 %N A163941 Fourth right hand column of triangle A163940. %H A163941 G. C. Greubel, <a href="/A163941/b163941.txt">Table of n, a(n) for n = 0..1000</a> %H A163941 Harry Crane, <a href="https://ajc.maths.uq.edu.au/pdf/61/ajc_v61_p057.pdf">Left-right arrangements, set partitions, and pattern avoidance</a>, Australasian Journal of Combinatorics, 61(1) (2015), 57-72. %H A163941 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (9,-29,39,-18). %F A163941 G.f.: 1/((1-x)*(1-2*x)*(1-3*x)^2). %F A163941 a(n) = (1/4)*(2^(n+5) + (2*n - 3)*3^(n+2) - 1). %F A163941 a(n) = 9*a(n-1) - 29*a(n-2) + 39*a(n-3) - 18*a(n-4). %F A163941 E.g.f.: (1/4)*(32*exp(2*x) + 27*(2*x-1)*exp(3*x) - exp(x)). - _G. C. Greubel_, Aug 13 2017 %t A163941 LinearRecurrence[{9,-29,39,-18},{1,9,52,246},30] (* or *) CoefficientList[ Series[1/((1-x)(1-2x)(1-3x)^2),{x,0,30}],x] (* _Harvey P. Dale_, Aug 14 2011 *) %o A163941 (PARI) Vec(1/((1-x)*(1-2*x)*(1-3*x)^2) + O(x^30)) \\ _Michel Marcus_, Feb 12 2015 %Y A163941 Equals the fourth right hand column of A163940. %Y A163941 A163942 is another right hand column. %K A163941 easy,nonn %O A163941 0,2 %A A163941 _Johannes W. Meijer_, Aug 13 2009