Maximal sum of x0 + x0*x1 + ... + x0*x1*...*xk over all compositions x0 + ... + xk = n.

Terms

a(0) =0a(1) =1a(2) =2a(3) =4a(4) =6a(5) =10a(6) =15a(7) =22a(8) =33a(9) =48a(10) =69a(11) =102a(12) =147a(13) =210a(14) =309a(15) =444a(16) =633a(17) =930a(18) =1335a(19) =1902a(20) =2793a(21) =4008a(22) =5709a(23) =8382a(24) =12027a(25) =17130a(26) =25149a(27) =36084a(28) =51393a(29) =75450