Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =0a(5) =1a(6) =2a(7) =2a(8) =0a(9) =2a(10) =9a(11) =6a(12) =3a(13) =0a(14) =6a(15) =44a(16) =31a(17) =19a(18) =11a(19) =0a(20) =15a(21) =265a(22) =180a(23) =105a(24) =54a(25) =32a(26) =0a(27) =84a(28) =1854a(29) =1255