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%I #8 Mar 25 2023 13:18:36
%S 1,2,3,4,5,6,7,9,11,8,10,13,14,12,15,22,18,20,25,17,19,16,32,29,23,21,
%T 38,24,40,27,51,54,26,28,30,43,63,35,33,36,80,34,98,31,49,46,119,66,
%U 44,41,42,39,145,72,37,47,53,58,173,55,207,71,61,114,48,45
%N Inverse permutation to A181820.
%C The partition with Heinz number n is given by the prime signature of A025487(a(n)).
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the positive integers</a>
%F a(A181820(n)) = A181820(a(n)) = n.
%e The partition with Heinz number 18 = prime(1)^1*prime(2)^2 is (1,2,2), and prime(1)^2*prime(2)^2*prime(3)^1 = 180 = A025487(20), so a(18) = 20.
%Y Cf. A025487, A181820, A361809 (fixed points).
%K nonn
%O 1,2
%A _Pontus von Brömssen_, Mar 25 2023
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