This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,4). The p-th row (p>=1) contains a(i,p) for i=1 to 4*p-3, where a(i,p) satisfies Sum_{i=1..n} C(i+3,4)^p = 5 * C(n+4,5) * Sum_{i=1..4*p-3} a(i,p) * C(n-1,i-1)/(i+4).
A087108
This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,4). The p-th row (p>=1) contains a(i,p) for i=1 to 4*p-3, where a(i,p) satisfies Sum_{i=1..n} C(i+3,4)^p = 5 * C(n+4,5) * Sum_{i=1..4*p-3} a(i,p) * C(n-1,i-1)/(i+4).
Terms
- a(0) =1a(1) =1a(2) =4a(3) =6a(4) =4a(5) =1a(6) =1a(7) =24a(8) =176a(9) =624a(10) =1251a(11) =1500a(12) =1070a(13) =420a(14) =70a(15) =1a(16) =124a(17) =3126a(18) =33124a(19) =191251a(20) =681000a(21) =1596120a(22) =2543520a(23) =2780820a(24) =2058000a(25) =987000a(26) =277200a(27) =34650a(28) =1a(29) =624
External references
- oeis: A087108