Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(5*n+1,i) * binomial(k+5-i,5)^n, 0 <= k <= 5*(n-1).
A237202
Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(5*n+1,i) * binomial(k+5-i,5)^n, 0 <= k <= 5*(n-1).
Terms
- a(0) =1a(1) =1a(2) =25a(3) =100a(4) =100a(5) =25a(6) =1a(7) =1a(8) =200a(9) =5925a(10) =52800a(11) =182700a(12) =273504a(13) =182700a(14) =52800a(15) =5925a(16) =200a(17) =1a(18) =1a(19) =1275a(20) =167475a(21) =6021225a(22) =84646275a(23) =554083761a(24) =1858142825a(25) =3363309675a(26) =3363309675a(27) =1858142825a(28) =554083761a(29) =84646275
External references
- oeis: A237202