A102359 Sigma((4^n - 1)/3), where sigma(n) is the sum of positive divisors of n.

1, 6, 32, 108, 384, 2688, 5632, 27864, 153920, 499968, 1477440, 11708928, 22380544, 115568640, 620101632, 1826150832, 5726797824, 54044390400, 91626668032, 555102471168, 2352412508160, 7458459886080, 23955459951744