a(n) = number of permutations (p(1),p(2),p(3),...,p(n)) of (1,2,3,...n) each of which is its own inverse and is such that p(k) = n + 1 - p(n+1-k) for all k in the range 1 <= k <= n.

A135401

a(n) = number of permutations (p(1),p(2),p(3),...,p(n)) of (1,2,3,...n) each of which is its own inverse and is such that p(k) = n + 1 - p(n+1-k) for all k in the range 1 <= k <= n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =2a(4) =6a(5) =6a(6) =20a(7) =20a(8) =76a(9) =76a(10) =312a(11) =312a(12) =1384a(13) =1384a(14) =6512a(15) =6512a(16) =32400a(17) =32400a(18) =168992a(19) =168992a(20) =921184a(21) =921184a(22) =5222208a(23) =5222208a(24) =30710464a(25) =30710464a(26) =186753920a(27) =186753920a(28) =1171979904a(29) =1171979904

External references