通用公式:A(x,y)=y+x*(1+y^4)+x^2*11+15368*y^15+7084*y^19)+x^7*(54*y^2+4284*y^6+38896*y^10+114240*y^14+133266*y^18+53820*y^22)+x^8*(9*y+4662*y^5+94390*y^9+525980*y^13+1187433*y^17+1171390*y ^21+420732*y ^25)+x^9*(3250*y ^4+160965*y ^8+1670942*y ^12+6640711*y ^16+12167001*y ^20+10399545*y*y ^24+3362260*y ^28)+。。。
使A=A(x,y)满足
y=…+x^16*A^25-x^9*A^16+x^4*A^9-x*A^4+A-x+x^4*A-x^9*A^4+x^16*A^9-x^25*A^16+…+(-x)^(n^2)*A(x,y)^。。。
当n>=0,k=0..3*n+1时,A(x,y)中x^n*y^k的系数T(n,k)的不规则三角形开始于:
n=0:[0,1];
n=1:[1,0,0,0,1];
n=2:[0,0,0,4,0,0,0,4];
n=3:[0,0,6,0,0,0,28,0,0,0,22];
n=4:[0,3,0,0,0,84,0,0,0,1219,0,0,0,140];
n=5:[0,0,0,0,0,135,0,0,0,981,0,0,0,1807,0,0,0,969];
n=6:[0,0,0,120,0,0,0,0,02568,0,0/0,10764,0,0-0,15368,0,0:0,7084];
n=7:[0,0,54,0,0,4284,0,0,0,38896,0,O,0,114240,0,0.0,133266,0,0,0,153820];
n=8:[0,9,0,0,0,0,4662,0,O,0,94390,0;
n=9:[0,0,0,0,0,3250,0,0,160965,0,0;
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用非零反对偶函数[x^(4*n+1-k)*y^k]A(x,y)读取这个三角形,当n>=0,k=0..3*n+1时,得到三角形A356501型:
[1, 1];
[0, 3, 6, 4, 1,
[0, 9, 54, 120, 135, 84, 28, 4];
[0, 22, 294, 1360, 3250, 4662, 4284, 2568, 981, 219, 22];
[0, 51, 1260, 10120, 41405, 103020, 170324, 196172, 160965, 94390, 38896, 10764, 1807, 140];
[0, 108, 4590, 58380, 368145, 1404102, 3587696, 6515712, 8715465, 8763645, 6684744, 3863496, 1670942, 525980, 114240, 15368, 969];
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