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%I #7 Jun 13 2016 18:28:24
%S 21600,36000,48600,121500,169344,225000,337500,395136,857304,3000564,
%T 6690816,19600000,24532992,37380096,53782400,59295096,88942644,
%U 122500000,161980416,171478296,658834400,774400000,943130628,1022754816,2155524696,2344190625,4326400000
%N Numbers whose 3 prime powers are a permutation of each other. Numbers with 3 distinct prime factors whose 3 exponents are a permutation of the 3 bases.
%F {a(n)} = {p(1)^a * p(2)^b * p(3)^c for 3 distinct primes p(1), p(2), p(3) such that (a, b, c) is a permutation of (p(1), p(2), p(3))}.
%e 21600 = 2^5 * 3^3 * 5^2
%e 36000 = 2^5 * 3^2 * 5^3
%e 48600 = 2^3 * 3^5 * 5^2
%e 121500 = 2^2 * 3^5 * 5^3
%e 169344 = 2^7 * 3^3 * 7^2
%e 225000 = 2^3 * 3^2 * 5^5
%e 337500 = 2^2 * 3^3 * 5^5
%e 395136 = 2^7 * 3^2 * 7^3
%e 857304 = 2^3 * 3^7 * 7^2
%e 3000564 = 2^2 * 3^7 * 7^3
%e 6690816 = 2^11 * 3^3 * 11^2
%e 24532992 = 2^11 * 3^2 * 11^3
%e 37380096 = 2^13 * 3^3 * 13^2
%e 59295096 = 2^3 * 3^2 * 7^7
%e 88942644 = 2^2 * 3^3 * 7^7
%e 161980416 = 2^13 * 3^2 * 13^3
%e 171478296 = 2^3 * 3^11 * 11^2
%e 943130628 = 2^2 * 3^11 * 11^3
%e 2155524696 = 2^3 * 3^13 * 13^2
%e 2344190625 = 3^7 * 5^5 * 7^3
%e 4594613625 = 3^7 * 5^3 * 7^5
%e 6511640625 = 3^5 * 5^7 * 7^3
%e 14010910524 = 2^2 * 3^13 * 13^3
%e 25015118625 = 3^5 * 5^3 * 7^7
%e 35452265625 = 3^3 * 5^7 * 7^5
%e 69486440625 = 3^3 * 5^5 * 7^7
%e 736820803125 = 3^11 * 5^5 * 11^3
%e 3083660425988 = 2^2 * 3^3 * 11^11
%e 3566212687125 = 3^11 * 5^3 * 11^5
%e 15792626953125 = 3^5 * 5^11 * 11^3
%e 20542440283992 = 2^3 * 3^2 * 11^11
%e 212323095703125 = 3^3 * 5^11 * 11^5
%e 8666341994809125 = 3^5 * 5^3 * 11^11
%e 21807007674642216 = 2^3 * 3^2 * 13^13
%e 24073172207803125 = 3^3 * 5^5 * 11^11
%e 32710511511963324 = 2^2 * 3^3 * 13^13
%Y Cf. A113855.
%K easy,nonn
%O 1,1
%A _Jonathan Vos Post_, Jan 26 2006
%E a(10)-a(27) from _Giovanni Resta_, Jun 13 2016
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