T(n,k) is the number of order-decreasing and order-preserving partial transformations (of an n-chain) of waist k (waist(alpha) = max(Im(alpha))).

A145035

T(n,k) is the number of order-decreasing and order-preserving partial transformations (of an n-chain) of waist k (waist(alpha) = max(Im(alpha))).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =7a(8) =8a(9) =6a(10) =1a(11) =15a(12) =24a(13) =28a(14) =22a(15) =1a(16) =31a(17) =64a(18) =96a(19) =112a(20) =90a(21) =1a(22) =63a(23) =160a(24) =288a(25) =416a(26) =484a(27) =394a(28) =1a(29) =127

External references