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 A193942 #16 Apr 01 2020 04:57:05 %S A193942 1,1,1,1,2,2,2,2,3,4,5,6,8,10,12,14,17,21,26,32,40,50,62,76,93,114, %T A193942 140,172,212,262,324,400,493,607,747,919,1131,1393,1717,2117,2610, %U A193942 3217,3964,4883,6014,7407,9124,11241,13851,17068,21032,25915,31929,39336 %N A193942 G.f.: (1+x^4)/(1-x-x^8). %C A193942 The Gi1 sums, see A180662, of triangle A065941 equal the terms of this sequence. %H A193942 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,1). %F A193942 G.f.: (1+x^4)/(1-x-x^8). %F A193942 a(n) = A005710(n) + A005710(n-4). %p A193942 A193942 := proc(n): coeftayl((1+x^4)/(1-x-x^8),x=0,n) end: seq(A193942(n), n=0..53); %o A193942 (PARI) Vec((1+x^4)/(1-x-x^8) + O(x^50)) \\ _Jinyuan Wang_, Apr 01 2020 %Y A193942 Cf. A005710. %K A193942 nonn,easy %O A193942 0,5 %A A193942 _Johannes W. Meijer_, Aug 11 2011