User:Anton Zakharov

Various formulas counting the number of permutations:

A030297(n)+ A002104(n) = A007526(n) + A006231(n+1).

A001711(n) = A001705(n+2) - A182541(n+4).

A000522(n) = A038155(n+2)/A000217(n+1).

A052801(n) = A007840(n) + A215916(n)

A067318(n) + A001705(n-1) = A062119(n)

Several of them have been found empirically from this useful configuration:

http://imageshack.com/a/img924/259/i36XVh.jpg