Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k runs of even entries (n >= 2, 1 <= k <= floor(n/2)). For example, the permutation 321756498 has 3 runs of even entries: 2, 64 and 8.

A152667

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k runs of even entries (n >= 2, 1 <= k <= floor(n/2)). For example, the permutation 321756498 has 3 runs of even entries: 2, 64 and 8.

Terms

    a(0) =2a(1) =6a(2) =12a(3) =12a(4) =48a(5) =72a(6) =144a(7) =432a(8) =144a(9) =720a(10) =2880a(11) =1440a(12) =2880a(13) =17280a(14) =17280a(15) =2880a(16) =17280a(17) =129600a(18) =172800a(19) =43200a(20) =86400a(21) =864000a(22) =1728000a(23) =864000a(24) =86400a(25) =604800a(26) =7257600a(27) =18144000a(28) =12096000a(29) =1814400

External references