Number of planar partitions of n with exactly 5 rows.

Terms

a(0) =1a(1) =2a(2) =5a(3) =11a(4) =24a(5) =48a(6) =94a(7) =176a(8) =324a(9) =580a(10) =1020a(11) =1757a(12) =2985a(13) =4990a(14) =8237a(15) =13428a(16) =21651a(17) =34540a(18) =54583a(19) =85473a(20) =132730a(21) =204484a(22) =312695a(23) =474814a(24) =716217a(25) =1073558a(26) =1599568a(27) =2369781a(28) =3491812a(29) =5118490