Total number of partitions of [n-s] whose block minima sum to s, summed over all s.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =1a(5) =2a(6) =3a(7) =6a(8) =11a(9) =23a(10) =46a(11) =97a(12) =205a(13) =448a(14) =1004a(15) =2339a(16) =5661a(17) =14291a(18) =37507a(19) =101962a(20) =285386a(21) =817772a(22) =2386946a(23) =7069893a(24) =21195092a(25) =64225525a(26) =196636559a(27) =608551084a(28) =1905848637a(29) =6049696252