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

0,3

Links

Table of n, a(n) for n=0..25.

Example

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.

Sequence in context: A005465 A229702 A337992 * A037600 A037705 A126505

Adjacent sequences: A257111 A257112 A257113 * A257115 A257116 A257117

Keyword

nonn

Author

Alois P. Heinz, Apr 24 2015

Status

approved