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 A356050 #61 Jan 25 2023 09:39:32 %S A356050 1,1,3,4,5,6,11,14,21,26,43,54,85,106,171,214,341,426,683,854,1365, %T A356050 1706,2731,3414,5461,6826,10923,13654,21845,27306,43691,54614,87381, %U A356050 109226,174763,218454,349525,436906,699051,873814,1398101,1747626,2796203,3495254,5592405 %N A356050 a(n) = 2*A135318(n+1) - A135318(n). %H A356050 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,2). %F A356050 a(n) = A135318(n) + A230096(n+1). %F A356050 a(n) = a(n-8) + 5*A094958(n-5). %F A356050 a(2*n) = A001045(n+2). %F A356050 a(2*n+1) = A084214(n+1). %F A356050 From _Stefano Spezia_, Aug 20 2022: (Start) %F A356050 O.g.f.: (1 + x + 2*x^2 + 3*x^3)/((1 + x^2)*(1 - 2*x^2)). %F A356050 E.g.f.: (8*cosh(sqrt(2)*x) - 2*cos(x) + 5*sqrt(2)*sinh(sqrt(2)*x) - 4*sin(x))/6. (End) %F A356050 3*a(n) = A228826(n+1) +A094958(n+3). - _R. J. Mathar_, Jan 25 2023 %t A356050 LinearRecurrence[{0, 1, 0, 2}, {1, 1, 3, 4}, 50] (* _Amiram Eldar_, Aug 19 2022 *) %Y A356050 Cf. A001045, A084214, A135318, A230096. %Y A356050 Cf. A094958. %K A356050 nonn,easy %O A356050 0,3 %A A356050 _Paul Curtz_, Aug 19 2022