Number of rises in all compositions of n with parts in {1,2,3} and adjacent differences in {-1,1}.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =2a(6) =5a(7) =3a(8) =9a(9) =11a(10) =10a(11) =24a(12) =21a(13) =30a(14) =50a(15) =43a(16) =75a(17) =93a(18) =96a(19) =161a(20) =170a(21) =215a(22) =312a(23) =323a(24) =456a(25) =574a(26) =639a(27) =906a(28) =1046a(29) =1276