Maximum value of the n-th difference of a permutation of 0..n.

Terms

a(0) =0a(1) =1a(2) =3a(3) =10a(4) =25a(5) =66a(6) =154a(7) =372a(8) =837a(9) =1930a(10) =4246a(11) =9516a(12) =20618a(13) =45332a(14) =97140a(15) =210664a(16) =447661a(17) =960858a(18) =2028478a(19) =4319100a(20) =9070110a(21) =19188796a(22) =40122028a(23) =84438360a(24) =175913250a(25) =368603716a(26) =765561564a(27) =1598231992a(28) =3310623412a(29) =6889682280