Floor-sqrt transform of Lah partition numbers (A000262).

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =8a(5) =22a(6) =63a(7) =193a(8) =627a(9) =2143a(10) =7677a(11) =28706a(12) =111669a(13) =450529a(14) =1880164a(15) =8097765a(16) =35922614a(17) =163849371a(18) =767224522a(19) =3682984346a(20) =18102428784a(21) =91000840873a(22) =467393250911