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例子
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伯努利数的差分表,[m]伯努利中值。
[1]
1/2, -1/2
1/6,[-1/3], 1/6
0,-1/6,1/6,0
-1/30, -1/30,[2/15], -1/30, -1/30
0, 1/30, 1/15, -1/15, -1/30, 0
1/42, 1/42,-1/105,[-8/105], -1/105, 1/42, 1/42
0, -1/42, -1/21, -4/105, 4/105, 1/21, 1/42, 0
-1/30、-1/30、-1/105、4/105、[8/105]、4/105、-1/105、-1/30、-1/30
0, 1/30, 1/15, 8/105, 4/105, -4/105, -8/105, -1/15, -1/30, 0
5/66, 5/66, 7/165, -4/165,-116/1155, [-32/231], -116/1155, -4/165, 7/165, ..
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积分_{x=0..1}1=1
积分{x=0..1}(-1)^1*x^2=-1/3
积分_{x=0..1}(-1)^2*(2*x^2-x)^2=2/15
积分{x=0..1}(-1)^3*(6*x^3-6*x^2+x)^2=-8/105,
积分{x=0..1}(-1)^4*(24*x^4-36*x^3+14*x^2-x)^2=8/105
积分{x=0..1}(-1)^5*(120*x^5-240*x^4+150*x^3-30*x^2+x)^2=-32/231,
...
积分{x=0..1}(-1)^n*(和{k=0..n}斯特林2(n,k)*k*(-x)^k)^2=伯努利中值(n)。
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