Triangle of coefficients of polynomials in Sum_{k=0..n} binomial(n,k) * k^r.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =5a(5) =-2a(6) =1a(7) =10a(8) =15a(9) =-10a(10) =1a(11) =14a(12) =31a(13) =-46a(14) =16a(15) =1a(16) =21a(17) =105a(18) =35a(19) =-210a(20) =112a(21) =1a(22) =27a(23) =183a(24) =97a(25) =-832a(26) =860a(27) =-272a(28) =1a(29) =36