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%I #4 Jan 03 2021 22:42:15
%S 529200,1058400,2646000,3704400,5292000,9720000,15876000,22226400,
%T 18522000,31752000
%N Numbers k such that k and the next three numbers after k with the same prime signature as k also have the same set of distinct prime divisors as k.
%C Numbers k such that A007947(k) = A007947(A081761(k)) = A007947(A081761(A081761(k))) = A007947(A081761(A081761(A081761(k)))).
%C The analogous sequence with the next four numbers after k begins with 2646000, 15876000, ...
%H <a href="/index/Pri#prime_signature">Index entries for sequences related to prime signature</a>
%e 529200 = 2^4 * 3^3 * 5^2 * 7^2 is a term since 529200 and the next three numbers with the same prime signature as 529200, 793800 = 2^3 * 3^4 * 5^2 * 7^2, 882000 = 2^4 * 3^2 * 5^3 * 7^2, and 1234800 = 2^4 * 3^2 * 5^2 * 7^3, have the same set of distinct prime divisors, {2, 3, 5, 7}.
%Y Subsequence of A340302 and A340303.
%Y Cf. A007947, A081761, A118914.
%K nonn,more
%O 1,1
%A _Amiram Eldar_, Jan 03 2021
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