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例子
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通用公式:A(x)=1+x+4*x^2+63*x^3+2116*x^4+113550*x^5+8687239*x^6+。。。
给定A(x)^n中x^k的系数表,对于{-oo<n<oo}:
...
[1,-7, 0,-301,-11634, -679252,-54467609,-5754393863, ...];
[1,-6, -3,-266,-10260, -593352,-47319971,-4982057256, ...];
[1,-5, -5,-230, -8800, -504011,-39971530,-4193722200, ...];
[1,-4,-6,-192,-7249,-411076,-32416322,-3389050344,…];
[1,-3,-6,-151,-5601,-314385,-24648147,-2567705130,…];
[1,-2, -5,-106, -3849, -213766,-16660556,-1729324458, ...];
[1,-1, -3, -56, -1985, -109036, -8446837, -873547334, ...];
[1, 0, 0, 0, 0, 0, 0, 0, ...];
[1, 1, 4, 63, 2116, 113550, 8687239, 891701755, ...];
[1, 2, 9, 134, 4374, 231836, 17622475, 1801953004, ...];
[1, 3, 15, 214, 6786, 355095, 26813632, 2731160112, ...];
[1, 4, 22, 304, 9365, 483580, 36268982, 3679741188, ...];
[1, 5, 30, 405, 12125, 617561, 45997165, 4648126560, ...];
[1, 6, 39, 518, 15081, 757326, 56007210, 5636759274, ...];
[1, 7, 49, 644, 18249, 903182, 66308557, 6646095618, ...];
...
然后,A(x)^n+1/A(x)*n中x^k的系数表开始:
[2, 0, 0, 0, 0, 0, 0, 0, ...];
[2, 0, 1, 7, 131, 4514, 240402, 18154421, ...];
[2,0,4,28,525,18070,961919,72628546,…];
[2, 0, 9, 63, 1185, 40710, 2165485, 163454982, ...];
[2, 0, 16, 112, 2116, 72504, 3852660, 290688144, ...];
[2, 0, 25, 175, 3325, 113550, 6025635, 454404360, ...];
[2, 0, 36, 252, 4821, 163974, 8687239, 654702018, ...];
[2, 0, 49, 343, 6615, 223930, 11840948, 891701755, ...];
...
这样,当n>1时,主对角线产生这个序列。
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