Monotonic subsequence of A051169.

Terms

a(0) =3a(1) =6a(2) =15a(3) =49a(4) =110a(5) =154a(6) =278a(7) =496a(8) =1321a(9) =2686a(10) =3713a(11) =21766a(12) =27122a(13) =31637a(14) =56836a(15) =64084a(16) =97214a(17) =97235a(18) =206786a(19) =251611a(20) =538711a(21) =1763479a(22) =1903702a(23) =5379961a(24) =12053441a(25) =13894939a(26) =18999469a(27) =30059956a(28) =56816411a(29) =93926431