Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of even length.

A097592

Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of even length.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =4a(6) =7a(7) =12a(8) =5a(9) =25a(10) =52a(11) =43a(12) =102a(13) =299a(14) =258a(15) =61a(16) =531a(17) =1750a(18) =1853a(19) =906a(20) =3141a(21) =11195a(22) =15634a(23) =8965a(24) =1385a(25) =20218a(26) =83074a(27) =133697a(28) =94398a(29) =31493

External references