Triangle read by rows: T(n,k) (n>=0, k>=0) is the number of permutations of n with k alignments.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =3a(5) =4a(6) =8a(7) =12a(8) =5a(9) =15a(10) =35a(11) =45a(12) =20a(13) =6a(14) =24a(15) =72a(16) =140a(17) =198a(18) =180a(19) =100a(20) =7a(21) =35a(22) =126a(23) =308a(24) =588a(25) =924a(26) =1148a(27) =1078a(28) =651a(29) =175