Eigensequence of a power series transformation.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =18a(6) =43a(7) =102a(8) =247a(9) =617a(10) =1564a(11) =4003a(12) =10355a(13) =27051a(14) =71225a(15) =188743a(16) =503111a(17) =1348301a(18) =3630294a(19) =9815159a(20) =26637436a(21) =72540432a(22) =198162708a(23) =542875096a(24) =1491126550a(25) =4105602719a(26) =11329408543a(27) =31328137525a(28) =86795258650a(29) =240898943969