A binomial sum of powers related to the Bernoulli numbers, triangular array, read by rows.

Terms

a(0) =-1a(1) =-2a(2) =2a(3) =-4a(4) =10a(5) =-6a(6) =-8a(7) =38a(8) =-54a(9) =24a(10) =-16a(11) =130a(12) =-330a(13) =336a(14) =-120a(15) =-32a(16) =422a(17) =-1710a(18) =3000a(19) =-2400a(20) =720a(21) =-64a(22) =1330a(23) =-8106a(24) =21840a(25) =-29400a(26) =19440a(27) =-5040a(28) =-128a(29) =4118