a(n) = core(Sum_{i=0,...,n} core(binomial(n,i))), where core(n) = A007913(n).

Terms

a(0) =1a(1) =2a(2) =1a(3) =2a(4) =10a(5) =2a(6) =1a(7) =2a(8) =118a(9) =19a(10) =519a(11) =2a(12) =635a(13) =370a(14) =829a(15) =1333a(16) =8454a(17) =17315a(18) =3599a(19) =15307a(20) =423769a(21) =852006a(22) =495431a(23) =2a(24) =2425755a(25) =2121070a(26) =3192295a(27) =1614598a(28) =35685686a(29) =10081687