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%I #6 May 26 2015 18:32:54
%S 1,1,26,566,11131,190131,2928876,40757006,518890101,6083666731,
%T 66157864251,671143606086,6384844387411,57220640955261,
%U 485038299365181,3902760531727911,29904009021483406,218823691308461156,1533172142451741421,10309493626479157551
%N 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).
%e 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.
%Y Column k=5 of A257462.
%K nonn
%O 0,3
%A _Alois P. Heinz_, Apr 27 2015
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