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例子
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通用公式:A(x)=1+x-2*x^2+26*x^4-1378*x^6+141202*x^8-+。。。
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设F(x)=A(x*F(x
F(x)=1+x-7*x^3+242*x^5-17771*x^7+2189294*x^9-+。。。
[1,1,0,-7,0,242,0,-17771,0,2189294,0,-404590470,0,104785114020,0,...].
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G.F.A(x)奇数幂系数。
A^1:[(1),1,-2,0,26,0,-1378,0141202,0,-22716418,0,…];
A^3:[1,(3),-3,-11,84168,-4376,-858043848865776,…];
A^5:[1,5,(0),-30115601,-7120,-302807266802987400,…];
A^7:[1,7,7,(-49),911253,-8743,-655199647686410880,…];
A^9:[1,9,18,-60,(0),1998,-8418,-112284110677511070241,…];
A^11:[1,11,33,-55,-154,(2662),-5566,-1660341108657,…];
A^13:[1,13,52,-26,-3513055,(0),-2201693505123169939,…];
A^15:[1,15,75,35,-55530037995,(-266565),56563529818365,…];
A^17:[1,17102136,-714238017646,-297160,(0),36161142,…];
A^19:[1,19133285,-760114027740,-304608,-739670,(41596586),…];
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缩放后,括号中显示的系数
构成函数F(x)=A(x*F(x,^2)的系数:
F: [1,3/3,0,-49/7,02662/11,0,-266565/15,041596586/19,0,…]。
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