Number of partitions of [n] such that the minimal element of each block is also its size.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =0a(5) =0a(6) =3a(7) =1a(8) =0a(9) =0a(10) =60a(11) =45a(12) =53a(13) =24a(14) =7a(15) =12601a(16) =15120a(17) =33390a(18) =55710a(19) =66522a(20) =86037a(21) =37907754a(22) =63130067a(23) =202203684a(24) =511378789a(25) =1421634137a(26) =2566309603a(27) =5855352202