a(n) = n!*Sum_{m=0..floor(n/3)} 1/binomial(n-m,2*m).

A358852

a(n) = n!*Sum_{m=0..floor(n/3)} 1/binomial(n-m,2*m).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =12a(4) =32a(5) =140a(6) =1512a(7) =6384a(8) =44928a(9) =749088a(10) =4299840a(11) =42546240a(12) =974695680a(13) =7061783040a(14) =90598072320

External references