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EXAMPLE
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a(1) = 66 because the smallest number n with A223730(n) = 3 is 66. The three solutions for m = 66 are denoted by [1,1,8], [1,4,7] and [4,5,5].
For n=2..10 the three representations of a(n) are given by
n=2, 86: [1, 2, 9], [1, 6, 7], [5, 5, 6],
n=3, 89: [2, 2, 9], [2, 6, 7], [3, 4, 8],
n=4, 101: [1, 6, 8], [2, 4, 9], [4, 6, 7],
n=5, 110: [1, 3, 10], [2, 5, 9], [5, 6, 7],
n=6, 114: [1, 7, 8], [4, 7, 7], [5, 5, 8],
n=7, 131: [1, 3, 11], [1, 7, 9], [5, 5, 9],
n=8, 149: [1, 2, 12], [2, 8, 9], [6, 7, 8],
n=9, 153: [2, 7, 10], [4, 4, 11], [5, 8, 8],
n=10: 166: [2, 9, 9], [3, 6, 11], [6, 7, 9].
For n = 153 there is also the non-primitive representation [6,6,9] = 3*[2,2,3] not counted here.
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