Triangle read by rows: T(n,k) is the number of permutations p of [n] in which exactly the first k terms satisfy the up-down property, i.e., p(1)<p(2), p(2)>p(3), p(3)<p(4), ...
A092580
Triangle read by rows: T(n,k) is the number of permutations p of [n] in which exactly the first k terms satisfy the up-down property, i.e., p(1)<p(2), p(2)>p(3), p(3)<p(4), ...
Terms
- a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =2a(6) =12a(7) =4a(8) =3a(9) =5a(10) =60a(11) =20a(12) =15a(13) =9a(14) =16a(15) =360a(16) =120a(17) =90a(18) =54a(19) =35a(20) =61a(21) =2520a(22) =840a(23) =630a(24) =378a(25) =245a(26) =155a(27) =272a(28) =20160a(29) =6720
External references
- oeis: A092580