通用公式:A(x)=1+3*x+5*x^2+9*x^3+15*x^4+21*x^5+29*x*6+39*x^7+。..
g.f.满足:
A(x)/A(x^3)=1+3*x+5*x^2+6*x^3+6*x^4+6*x*^5+。..+6*x^n+。..
g.f.的对数开始于:
对数(A(x))=3*x+x^2/2+9*x^3/3+x^4/4+3*x^5/5+x^6/6+3*x*^7/7+x^8/8+27*x^9/9+x^10/10+3*x ^11/11+x^12/12+。..+3^b(n)*x^n/n+。..
其中b(n)=2^n+1中3的最高指数,对于n>=1,并且开始:
b=[1,0,2,0,1,0,1,0,3,0,1,0,0,2,0,1,0,1,0,0,2,0,1,0,0,0,0,0,1,0,0,4,…]。
审判的g.f.s开始于:
T_0(x)=1+9*x+29*x^2+63*x^3+123*x^4+219*x^5+353*x^6+。..
T_1(x)=3+15*x+39*x^2+81*x^3+153*x^4+261*x^5+411*x^6+。..
T_2(x)=5+21*x+49*x^2+99*x^3+183*x^4+303*x^5+469*x^6+。..
其中T_1(x)/T_0(x)=3*(1+x)/(1+5*x),T_2(x)/T_0(x)=(5+x)或(1+5*x)。