Max_{k=0..n} { Number of partitions of n into exactly k parts }.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =3a(7) =4a(8) =5a(9) =7a(10) =9a(11) =11a(12) =15a(13) =18a(14) =23a(15) =30a(16) =37a(17) =47a(18) =58a(19) =71a(20) =90a(21) =110a(22) =136a(23) =164a(24) =201a(25) =248a(26) =300a(27) =364a(28) =436a(29) =525