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A257518
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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).
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1
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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
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0,3
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LINKS
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EXAMPLE
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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.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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