通用公式:A(x)=1+x+4*x^2+63*x^3+2160*x^4+138025*x^5+15073596*x^6+257272048*x^7+642195593408*x^8+224210211292629*x^9+105538947969000700*x^10+。。。
A(x/A(x)^(n^2))中的系数表开始于:
n=0:[1、1、4、63、2160、138025、15073596、2572772048、642195593408…];
n=1:[1,1,3,52,1895,126554,14211827,2465030616,621409924326,…];
n=2:[1,1,0,251228,96586,11876160,2164945551,562519626368,…];
n=3:[1,1,-5,0,483,59116,8696349,1732963772,474868166564,…];
n=4:[1,1,-12,7,0,25509,5385244,1244512060,370970521936,…];
n=5:[1,1,-21,88,-165,0,2430241,766004308,263319541888,…];
n=6:[1,1,-32,297,-660,-24926,0,342132167,161945375456,…];
n=7:[1,1,-45,700,-3377,-64394,-1721889,0,73311075962,…];
n=8:[1,1,-60,1375,-12112,-120679,-1685572,-241494912,0,…];
n=9:[1,1,-77,2412,-33345,-137186,3227751,-394368976,-60181947214,0,…]。。。
这样,主对角线由初始项后的所有零组成。
对于n>=1,a(n)/n的值从以下开始:
[1, 2, 21, 540, 27605, 2512266, 367538864, 80274449176, 24912245699181, 10553894796900070, 5906190506332699440, ...].
[1, 1, 7, 135, 5521, 418711, 52505552, 10034306147, 2768027299909, 1055389479690007, 536926409666609040, ...].