Stirling transform of Jacobsthal numbers (A001045).

Terms

a(0) =0a(1) =1a(2) =2a(3) =7a(4) =31a(5) =152a(6) =813a(7) =4741a(8) =29956a(9) =203305a(10) =1470795a(11) =11276718a(12) =91221419a(13) =775677177a(14) =6910797962a(15) =64326920851a(16) =623981351195