对于n>0,第n行中的非零系数范围为x^(n-1)到x^。
三角形开始:
1;
1;
0,1,2,1,1;
0,0,1,3,5,8,10,10,9,7,5,2,1;
0,0,0,1,4,10,21,36,55,78,101,122,138,145,143,134,117,95,72,50,32,18,9,3,1;
0,0,0,0,1,5,16,41,87,164,283,452,679,967,1311,1700,2118,2540,2937,3282,3546,3706,3751,3676,3487,3202,2842,2436,2014,1602,1223,894,622,409,253,145,76,35,14,4,1;
0,0,0,0,0,1,6,23,69,172,378,754,1390,2404,3938,6153,9223,13323,18609,25203,33174,42514,53130,64834,77336,90255,103136,115470,126726,136390,143998,149170,151646,151299,148146,142351,134207,124115,112555,100050,87126,74281,61955,50504,40192,31187,23556,17286,12297,8456,5601,3558,2155,1235,664,330,149,59,20,5,1;
...
g.f.的显式展开:
1/cos_q(x,q)=1+x^2/faq(2,q)+x^4*(q+2*q^2+q^3+q^4)/faq(4,q)+
x^6*(q^2+3*q^3+5*q^4+8*q^5+10*q^6+10*q^7+9*q^8+7*q^9+5*q^10+2*q^11+q^12)/常见问题(6,q)+
x^8*(q^3+4*q^4+10*q^5+21*q^6+36*q^7+55*q^8+78*q^9+101*q^10+122*q^11+138*q^12+145*q^13+143*q^14+134*q^15+117*q^16+95*q^17+72*q^18+50*qq^19+32*q^20+18*q^21+9*q^22+3*q^23+q^24)/常见问题(8,q)+。。。