Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks.

A008303

Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =2a(4) =8a(5) =16a(6) =16a(7) =88a(8) =16a(9) =32a(10) =416a(11) =272a(12) =64a(13) =1824a(14) =2880a(15) =272a(16) =128a(17) =7680a(18) =24576a(19) =7936a(20) =256a(21) =31616a(22) =185856a(23) =137216a(24) =7936a(25) =512a(26) =128512a(27) =1304832a(28) =1841152a(29) =353792

External references