A145360 Third column (m=3) of triangle A145357 (S1hat(6)).
1, 6, 78, 804, 8316, 85176, 1021608, 11394432, 144885888, 1886008320, 26529503616, 390680672256, 6237490904064, 104348756736000, 1873079661358080, 35428981499412480, 710916534432276480, 14999585506406645760, 333292875250857984000, 7754472236069830656000
Offset: 0
Formula
a(n) = A145357(n+3,3), n>=0.