Number of rooted thrice-partitions of n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =19a(6) =43a(7) =91a(8) =201a(9) =422a(10) =918a(11) =1896a(12) =4089a(13) =8376a(14) =17793a(15) =36445a(16) =76446a(17) =155209a(18) =324481a(19) =655426a(20) =1355220a(21) =2741092a(22) =5617505a(23) =11291037a(24) =23086423a(25) =46227338a(26) =93753196a(27) =187754647a(28) =378675055a(29) =754695631