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%I #9 Oct 18 2022 03:41:40
%S 1,2,3,6,4,8,12,24,5,10,15,30,20,40,60,120,16,32,48,96,64,128,192,384,
%T 80,160,240,480,320,640,960,1920,9,18,27,54,36,72,108,216,45,90,135,
%U 270,180,360,540,1080,144,288,432,864,576,1152,1728,3456,720,1440,2160
%N Successively interleaved alternate bits in binary expansion of n gives vector of exponents in prime factorization of a(n).
%C Every value appears once. Inverse of A059884. Similar to A052330 (they diverge at n=16) but assigns bits via interleaving versus numerical order.
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%e To find a(7): 7 = ...000111; ... 0 0 1 1 = 3 -> 2^3 = 8; ... 0 1 = 1 -> 3^1 = 3; so a(7) = 3*8 = 24.
%Y Cf. A059884, A052330.
%K base,easy,nonn
%O 0,2
%A _Marc LeBrun_, Feb 07 2001
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