Number of partitions of [n] whose block minima sum to n.

Terms

a(0) =1a(1) =1a(2) =0a(3) =2a(4) =2a(5) =2a(6) =29a(7) =56a(8) =191a(9) =380a(10) =5097a(11) =14288a(12) =74359a(13) =283884a(14) =1106529a(15) =13588409a(16) =53640963a(17) =350573155a(18) =1867738775a(19) =10770352150a(20) =50050737949a(21) =744605446778