A180891 Number of permutations of 3..n+2 with no element greater than or equal to the sum of its neighbors

1, 0, 2, 6, 26, 142, 844, 5686, 42114, 349630, 3149222, 31070272, 328873208, 3760018560, 45762031978, 595413789074, 8190755202454, 119517943312606