通用公式:A(x)=1+2*x+4*x^2+9*x^3+23*x^4+66*x^5+210*x^6+。..
我们的身份:
A(x)=1/(1-x)+x/(1-2*x)+x^2/(1-3*x)+x^3/(1-4*x)+/x^4/(1-5*x)+。..
等于
A(x)=1/(1-x)+x/((1-x)^2*(1+x))+2!*x^2/((1-x)^3*(1+x)*(1+2*x))+3!*x^3/((1-x)^4*(1+x)*(1+2*x)x(1+3*x))+4!*x^4/((1-x)^5*(1+x)*(1+2*x)*。..
注释中描述的a(5-1)=23 RGS为(点表示零):
01: [ . . . . . ]
02: [ . 1 . . . ]
03: [ . 1 . . 1 ]
04: [ . 1 . 1 . ]
05: [ . 1 . 1 1 ]
06: [ . 1 1 . . ]
07: [ . 1 1 . 1 ]
08: [ . 1 1 1 . ]
09: [ . 1 1 1 1 ]
10: [ . 1 2 . . ]
11: [ . 1 2 . 1 ]
12: [ . 1 2 . 2 ]
13: [ . 1 2 1 . ]
14: [ . 1 2 1 1 ]
15: [ . 1 2 1 2 ]
16: [ . 1 2 2 . ]
17: [ . 1 2 2 1 ]
18: [ . 1 2 2 2 ]
19: [ . 1 2 3 . ]
20: [ . 1 2 3 1 ]
21: [ . 1 2 3 2 ]
22: [ . 1 2 3 3 ]
23: [ . 1 2 3 4 ]
(结束)