First differences give A052849.

Terms

a(0) =1a(1) =3a(2) =7a(3) =19a(4) =67a(5) =307a(6) =1747a(7) =11827a(8) =92467a(9) =818227a(10) =8075827a(11) =87909427a(12) =1045912627a(13) =13499954227a(14) =187856536627