a(n) = Sum_{i=1..q-1} d(i)^i where d(i) are the q sorted divisors of A376222(n).

Terms

a(0) =5a(1) =353a(2) =739a(3) =2207a(4) =6869a(5) =1381a(6) =226991a(8) =24439a(9) =68947a(10) =389027a(11) =493049a(12) =12289a(13) =148927a(14) =35726471189a(15) =12457a(16) =2685629a(17) =4330757a(18) =1442923a(19) =103993a(20) =2248117a(21) =24919a(22) =11089577a(24) =12008999a(25) =1225093a(26) =205549a(27) =104113a(28) =21253943a(29) =22665197