A257518 Number of factorizations of m^n into n factors, where m is a product of exactly 5 distinct primes and each factor is a product of 5 primes (counted with multiplicity).

1, 1, 26, 566, 11131, 190131, 2928876, 40757006, 518890101, 6083666731, 66157864251, 671143606086, 6384844387411, 57220640955261, 485038299365181, 3902760531727911, 29904009021483406, 218823691308461156, 1533172142451741421, 10309493626479157551

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Example

a(2) = 26: (2*3*5*7*11)^2 = 5336100 = 2310*2310 = 2420*2205 = 2450*2178 = 2475*2156 = 3234*1650 = 3388*1575 = 3465*1540 = 3630*1470 = 3675*1452 = 3850*1386 = 4851*1100 = 5082*1050 = 5390*990 = 5445*980 = 5775*924 = 6050*882 = 7623*700 = 8085*660 = 8470*630 = 9075*588 = 11858*450 = 12705*420 = 13475*396 = 17787*300 = 21175*252 = 29645*180.

Crossrefs

Column k=5 of A257462.

Sequence in context: A058461 A323492 A265461 * A283343 A160059 A323117

Adjacent sequences: A257515 A257516 A257517 * A257519 A257520 A257521

Keyword

nonn

Author

Alois P. Heinz, Apr 27 2015

Status

approved