|
%I #15 Mar 25 2023 08:18:28
%S 1,1,-1,2,-4,9,-22,55,-142,376,-1011,2758,-7614,21220,-59630,168759,
%T -480533,1375676,-3957075,11430582,-33144264,96434321,-281447954,
%U 823734157,-2417092933,7109265120,-20955593252,61893804180,-183148075432,542885589115,-1611809502764,4792612539375
%N G.f. A(x) satisfies A(x)^3 = A(x^3) + 3*x.
%C Self-convolution cube is A107093.
%H Seiichi Manyama, <a href="/A107092/b107092.txt">Table of n, a(n) for n = 0..1000</a>
%e A(x)^3 = 1 + 3*x + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18 +...
%e A(x^3) = 1 + x^3 - x^6 + 2*x^9 - 4*x^12 + 9*x^15 - 22*x^18+...
%o (PARI) {a(n)=local(A=1+x);for(i=1,n,A=(subst(A,x,x^3)+3*x+x*O(x^n))^(1/3)); polcoeff(A,n,x)}
%Y Cf. A107093, A008544, A352703, A352705, A361763.
%K sign
%O 0,4
%A _Paul D. Hanna_, May 11 2005
|
