This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5*p-4, where a(i,p) satisfies Sum_{i=1..n} C(i+4,5)^p = 6 * C(n+5,6) * Sum_{i=1..5*p-4} a(i,p) * C(n-1,i-1)/(i+5).

A087109

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,5). The p-th row (p>=1) contains a(i,p) for i=1 to 5*p-4, where a(i,p) satisfies Sum_{i=1..n} C(i+4,5)^p = 6 * C(n+5,6) * Sum_{i=1..5*p-4} a(i,p) * C(n-1,i-1)/(i+5).

Terms

    a(0) =1a(1) =1a(2) =5a(3) =10a(4) =10a(5) =5a(6) =1a(7) =1a(8) =35a(9) =370a(10) =1920a(11) =5835a(12) =11253a(13) =14240a(14) =11830a(15) =6230a(16) =1890a(17) =252a(18) =1a(19) =215a(20) =8830a(21) =148480a(22) =1352615a(23) =7665757a(24) =29224020a(25) =78518790a(26) =152794740a(27) =218270220a(28) =229279512a(29) =175227360

External references