A062475 Integer part of ln(n!)^(1 + ln(ln(1 + n))).

0, 0, 2, 5, 11, 23, 40, 68, 107, 162, 236, 335, 463, 626, 831, 1084, 1392, 1765, 2211, 2740, 3362, 4089, 4932, 5904, 7020, 8292, 9737, 11371, 13210, 15273, 17578, 20145, 22994, 26148, 29629, 33460, 37666, 42273, 47307, 52797, 58770, 65257