A sequence related to numeric partitions and Fermat Coefficients.

Terms

a(0) =1a(1) =1a(2) =5a(3) =15a(4) =44a(5) =99a(6) =217a(7) =429a(8) =811a(9) =1430a(10) =2438a(11) =3978a(12) =6312a(13) =9690a(14) =14550a(15) =21318a(16) =30669a(17) =43263a(18) =60115a(19) =82225a(20) =111044a(21) =148005a(22) =195143a(23) =254475a(24) =328759a(25) =420732a(26) =534076a(27) =672452a(28) =840656a(29) =1043460