The number of walks (sequences starting with 0 and changing by plus or minus 1 at each step) of length 4n such that every window therein of width 2n has its left half summing to strictly less than its right half.

A180722

The number of walks (sequences starting with 0 and changing by plus or minus 1 at each step) of length 4n such that every window therein of width 2n has its left half summing to strictly less than its right half.