a(n) = floor( Sum_{k=0..n-1} n^k / (k! * a(k)) ), for n > 0 with a(0) = 1.

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =9a(5) =17a(6) =30a(7) =52a(8) =91a(9) =161a(10) =285a(11) =503a(12) =889a(13) =1573a(14) =2782a(15) =4920a(16) =8697a(17) =15368a(18) =27146a(19) =47928a(20) =84590a(21) =149246a(22) =263247a(23) =464214a(24) =818445a(25) =1442762a(26) =2543025a(27) =4482001a(28) =7898979a(29) =13920609