递归表[{32*(55n^2+33n+6)*(n-1)^4*a[n-2]-(19415n^6-27181n^5+7453n^4+3289n^3-956n^2-276n+96)*a[n-1]-(1155n^6+693n^5-732n^4-715n^3+45n^2+210n+56)*a[n]+(55n*2-77n+28)*(n+1)^4*a[n+1]=0,a[0]=1,a[1]==2,a[2]==34},a,{n,0,25}]
(*或直接*)
表[Sum[二项式[n,k]^5,{k,0,n}],{n,0,25}](*瓦茨拉夫·科特索维奇,2012年4月27日*)