A257114 Number of factorizations of m^n into n factors, where m is a product of exactly 4 distinct primes and each factor is a product of 4 primes (counted with multiplicity).
1, 1, 10, 70, 465, 2505, 12652, 57232, 240481, 936785, 3428138, 11817866, 38676949, 120577553, 359800464, 1030830032, 2845200663, 7584911479, 19580001382, 49046743566, 119457712491, 283383330899, 655832583316, 1482829086428, 3279794012205, 7105246435381
Offset: 0
Keywords
Examples
a(2) = 10: (2*3*5*7)^2 = 44100 = 210*210 = 225*196 = 294*150 = 315*140 = 350*126 = 441*100 = 490*90 = 525*84 = 735*60 = 1225*36.
Crossrefs
Column k=4 of A257462.