A257518 - OEIS

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

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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