A144896 Third column of triangle A134134 (S2'(2)= S1hat(2)).
1, 2, 10, 44, 228, 1272, 8760, 63936, 547776, 5145984, 54233280, 624291840, 7879472640, 107423677440, 1579212910080, 24832164556800, 416273901926400, 7403098797158400, 139238590721126400, 2760253302701260800, 57522218527420416000, 1256931901812400128000
Offset: 0
Formula
a(n) = A134134(n+3,3), n>=0.