%I #16 Dec 04 2023 04:32:42

%S 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 119,148,184,228,281,345,423,519,638,786,970,1198,1479,1824,2247,2766,

%U 3404,4190,5160,6358,7837,9661,11908,14674,18078,22268,27428,33786,41623

%N G.f. A(x) satisfies A(x) = 1 / (1 - x * A(x^8)).

%C a(n) = A005710(n-1) up to n=72, but then the two sequences start to differ. - _R. J. Mathar_, Dec 04 2023

%H Seiichi Manyama, <a href="/A367800/b367800.txt">Table of n, a(n) for n = 0..10000</a>

%F a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/8)} a(k) * a(n-1-8*k).

%o (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 Cf. A000621, A367794, A367637.

%Y Cf. A005710, A101918.

%K nonn

%O 0,10

%A _Seiichi Manyama_, Dec 01 2023