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 A367800 #16 Dec 04 2023 04:32:42 %S A367800 1,1,1,1,1,1,1,1,1,2,3,4,5,6,7,8,9,11,14,18,23,29,36,44,53,64,78,96, %T A367800 119,148,184,228,281,345,423,519,638,786,970,1198,1479,1824,2247,2766, %U A367800 3404,4190,5160,6358,7837,9661,11908,14674,18078,22268,27428,33786,41623 %N A367800 G.f. A(x) satisfies A(x) = 1 / (1 - x * A(x^8)). %C A367800 a(n) = A005710(n-1) up to n=72, but then the two sequences start to differ. - _R. J. Mathar_, Dec 04 2023 %H A367800 Seiichi Manyama, <a href="/A367800/b367800.txt">Table of n, a(n) for n = 0..10000</a> %F A367800 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/8)} a(k) * a(n-1-8*k). %o A367800 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\8, v[j+1]*v[i-8*j])); v; %Y A367800 Cf. A000621, A367794, A367637. %Y A367800 Cf. A005710, A101918. %K A367800 nonn %O A367800 0,10 %A A367800 _Seiichi Manyama_, Dec 01 2023