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 A348289 #19 Oct 11 2021 08:00:27
%S A348289 1,1,1,1,1,1,1,1,2,6,16,36,71,127,211,331,497,725,1047,1531,2316,3668,
%T A348289 6064,10312,17717,30309,51165,84893,138417,222329,353285,558253,
%U A348289 881918,1399274,2236480,3604588,5853067,9553715,15631615,25570103,41734433,67889133,110035211,177778263
%N A348289 a(n) = Sum_{k=0..floor(n/8)} binomial(n-4*k,4*k).
%H A348289 Seiichi Manyama, <a href="/A348289/b348289.txt">Table of n, a(n) for n = 0..1000</a>
%H A348289 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1,0,0,0,1).
%F A348289 G.f.: (1-x)^3/((1-x)^4 - x^8).
%F A348289 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-8).
%o A348289 (PARI) a(n) = sum(k=0, n\8, binomial(n-4*k, 4*k));
%o A348289 (PARI) my(N=66, x='x+O('x^N)); Vec((1-x)^3/((1-x)^4-x^8))
%Y A348289 Cf. A000045, A005252, A100134, A348290.
%Y A348289 Cf. A101552.
%K A348289 nonn,easy
%O A348289 0,9
%A A348289 _Seiichi Manyama_, Oct 10 2021