A046572 First numerator and then denominator of the central elements of the 1/4-Pascal triangle (by row).

1, 1, 1, 4, 5, 2, 19, 2, 35, 1, 259, 2, 483, 1, 1815, 1, 6864, 1, 52195, 2, 99671, 1, 382109, 1, 1469650, 1, 5668327, 1, 21915550, 1, 84913470, 1, 329624730, 1, 2563431075, 2, 4991324415, 1, 19463777025, 1, 75992317170, 1, 297026449005, 1