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Inverse permutation to A365278.
2

%I #10 Sep 03 2023 11:33:07

%S 0,1,3,2,7,15,6,31,63,4,5,11,14,127,255,30,511,1023,12,13,27,62,2047,

%T 4095,126,8191,16383,8,9,19,10,23,47,22,95,191,28,29,59,254,32767,

%U 65535,510,131071,262143,60,61,123,1022,524287,1048575,2046,2097151,4194303

%N Inverse permutation to A365278.

%H Rémy Sigrist, <a href="/A365279/b365279.txt">Table of n, a(n) for n = 0..6561</a>

%H Rémy Sigrist, <a href="/A365279/a365279.gp.txt">PARI program</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F a(3*n) = 2*a(n).

%F a(A032924(k)) = 2^k - 1 for any k > 0.

%F A023416(a(n)) = A077267(n).

%e A365278(42) = 273, hence a(273) = 42.

%o (PARI) See Links section.

%Y Cf. A023416, A032924, A077267, A365278.

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Aug 31 2023