Irregular triangle T(n,k), n >= 0, 0 <= k <= 2*n+1, read by rows, where T(n,k) = [x^k] (1-x)^(n+1) * Sum_{k=0..n} (k+1)^n * x^k.

A382287

Irregular triangle T(n,k), n >= 0, 0 <= k <= 2*n+1, read by rows, where T(n,k) = [x^k] (1-x)^(n+1) * Sum_{k=0..n} (k+1)^n * x^k.

Terms

    a(0) =1a(1) =-1a(2) =1a(3) =0a(4) =-3a(5) =2a(6) =1a(7) =1a(8) =0a(9) =-16a(10) =23a(11) =-9a(12) =1a(13) =4a(14) =1a(15) =0a(16) =-125a(17) =284a(18) =-229a(19) =64a(20) =1a(21) =11a(22) =11a(23) =1a(24) =0a(25) =-1296a(26) =4079a(27) =-5051a(28) =2869a(29) =-625

External references