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 A094259 #13 Aug 18 2023 17:05:00 %S A094259 1,3,11,55,315,1871,11203,67191,403115,2418655,14511891,87071303, %T A094259 522427771,3134566575,18807399395,112844396311,677066377803, %U A094259 4062398266751,24374389600435,146246337602535,877478025615131,5264868153690703,31589208922144131,189535253532864695 %N A094259 Expansion of g.f.: (1-5*x)/((1-6*x)*(1-x)^2). %H A094259 G. C. Greubel, <a href="/A094259/b094259.txt">Table of n, a(n) for n = 0..1000</a> %H A094259 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (8,-13,6). %F A094259 a(n) = (6^(n+1) + 20*n + 19)/25. %F A094259 E.g.f.: (1/25)*(6*exp(6*x) + (19 + 20*x)*exp(x)). - _G. C. Greubel_, Aug 18 2023 %t A094259 LinearRecurrence[{8,-13,6}, {1,3,11}, 41] (* _G. C. Greubel_, Aug 18 2023 *) %o A094259 (Magma) [(6^(n+1) +20*n +19)/25: n in [0..40]]; // _G. C. Greubel_, Aug 18 2023 %o A094259 (SageMath) [(6^(n+1) +20*n +19)/25 for n in range(41)] # _G. C. Greubel_, Aug 18 2023 %Y A094259 Cf. A094195. %Y A094259 A row of A094250. %K A094259 nonn,easy %O A094259 0,2 %A A094259 _N. J. A. Sloane_, Jun 02 2004