Total sum of the left-to-right maxima in all compositions of n into distinct parts.

Terms

a(0) =0a(1) =1a(2) =2a(3) =8a(4) =11a(5) =22a(6) =53a(7) =75a(8) =123a(9) =193a(10) =418a(11) =538a(12) =894a(13) =1268a(14) =1950a(15) =3567a(16) =4799a(17) =7143a(18) =10355a(19) =14968a(20) =20701a(21) =36398a(22) =46420a(23) =69071a(24) =94972a(25) =136385a(26) =182522a(27) =259104a(28) =402405a(29) =527090