Number of partitions with maximum rectangle n.

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =16a(5) =16a(6) =76a(7) =53a(8) =218a(9) =303a(10) =750a(11) =412a(12) =3680a(13) =1361a(14) =5015a(15) =9206a(16) =23162a(17) =8290a(18) =66166a(19) =19936a(20) =161656a(21) =192181a(22) =236007a(23) =100730a(24) =1338186a(25) =819694a(26) =1180478a(27) =1924986a(28) =5215844a(29) =1246468