摘要
设Smn=2n-11-2m2n-22+…+nm·(-1)n+1·nn,则对任意非负整数m、k有Sm3k=Amkm+Am-1km-1+…+A1k;Sm3k+1=Bmkm+Bm-1km-1+…+B1k+1;Sm3k+2=Cmkm+Cm-1km-1+…+C1k+3-2m;其中Ai,Bi,Ci(1≤i≤m)
Let =-+…+nm·(-1)n+1·, then =Am +Am-1 +…+A1k; =Bm +B m- 1+…+B1k+1; =Cm +C m- 1+…+C1k+3-; for all natural numbers m and k, where Ai, Bi and Ci are constants.
出处
《保定师专学报》
1999年第4期4-6,共3页
Journal of Baoding Teachers College