Number of set partitions of [n] such that 4 is the largest element of the last block.

Terms

a(0) =10a(1) =15a(2) =29a(3) =63a(4) =149a(5) =375a(6) =989a(7) =2703a(8) =7589a(9) =21735a(10) =63149a(11) =185343a(12) =547829a(13) =1627095a(14) =4848509a(15) =14479983a(16) =43308869a(17) =129664455a(18) =388469069a(19) =1164358623a(20) =3490978709a(21) =10468741815a(22) =31397836829a(23) =94176733263a(24) =282496645349a(25) =847422827175