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%I #8 Nov 23 2019 21:06:22
%S 1,1,1,2,2,4,2,6,1,1,1,68,1,180,4,2,1,2968,1,31724,2,2,8
%N Number of sequences n = b_1 < b_2 < ... < b_t = A329732(n) such that b_1*b_2*...*b_t is a perfect cube.
%C Conjecture: records are at 0 and the odd primes.
%e For n = 5, the a(5) = 4 sequences are
%e 5 * 6 * 9 * 10 * 15 * 18 = 90^3,
%e 5 * 6 * 8 * 9 * 10 * 15 * 18 = 180^3,
%e 5 * 10 * 15 * 16 * 18 = 60^3, and
%e 5 * 8 * 10 * 15 * 16 * 18 = 120^3.
%Y Cf. A329732.
%K nonn,more
%O 0,4
%A _Peter Kagey_, Nov 19 2019
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