# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a360896 Showing 1-1 of 1 %I A360896 #12 Feb 26 2023 06:55:54 %S A360896 1,1,1,1,0,-2,-5,-4,9,39,46,-101,-516,-624,2021,9704,8847,-58363, %T A360896 -230932,-65902,2085381,6301393,-5195375,-84748630,-174659303, %U A360896 535875052,3703162955,3578704451,-39485091237,-163826467050,88095454403,2675998434838,6571312338031 %N A360896 G.f. satisfies A(x) = 1 + x * A(x * (1 - x^2)). %H A360896 Seiichi Manyama, Table of n, a(n) for n = 0..952 %F A360896 a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/3)} (-1)^k * binomial(n-1-2*k,k) * a(n-1-2*k). %o A360896 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, (i-1)\3, (-1)^j*binomial(i-1-2*j, j)*v[i-2*j])); v; %Y A360896 Cf. A360894, A360897. %Y A360896 Cf. A360885. %K A360896 sign %O A360896 0,6 %A A360896 _Seiichi Manyama_, Feb 25 2023 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE