Number of compositions of n such that between any pair of equal adjacent parts there can be a pair of brackets enclosing a new nonempty composition with the same rules.

A383765

Number of compositions of n such that between any pair of equal adjacent parts there can be a pair of brackets enclosing a new nonempty composition with the same rules.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =32a(6) =87a(7) =247a(8) =719a(9) =2143a(10) =6501a(11) =20020a(12) =62413a(13) =196602a(14) =624777a(15) =2000583a(16) =6448418a(17) =20905700a(18) =68124244a(19) =223008863a(20) =733029865a(21) =2418389200a(22) =8005456180a(23) =26581030889a(24) =88505553642a(25) =295449465970a(26) =988604513361

External references