Alternating sums of powers for 1,2,3,4 and 5.

Terms

a(0) =1a(1) =3a(2) =15a(3) =81a(4) =435a(5) =2313a(6) =12195a(7) =63801a(8) =331395a(9) =1710153a(10) =8775075a(11) =44808921a(12) =227890755a(13) =1155180393a(14) =5839846755a(15) =29458152441a(16) =148335904515a(17) =745888593033