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A371592 Irregular table T(n, k), n >= 0, k = 1..2^n, read by rows; the n-th row lists the nonnegative integers whose dual Zeckendorf-binary representation has n ones.

%I A371592 #9 Apr 14 2024 10:04:07
%S A371592 0,1,2,3,4,5,7,6,8,9,10,12,13,15,20,11,14,16,17,18,21,22,23,25,26,28,
%T A371592 33,34,36,41,54,19,24,27,29,30,31,35,37,38,39,42,43,44,46,47,49,55,56,
%U A371592 57,59,60,62,67,68,70,75,88,89,91,96,109,143
%N A371592 Irregular table T(n, k), n >= 0, k = 1..2^n, read by rows; the n-th row lists the nonnegative integers whose dual Zeckendorf-binary representation has n ones.
%C A371592 As a flat sequence, this is a permutation of the nonnegative integers with inverse A371593.
%H A371592 Rémy Sigrist, <a href="/A371592/a371592.gp.txt">PARI program</a>
%H A371592 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A371592 A112310(T(n, k)) = n.
%F A371592 T(n, 1) = A001911(n).
%F A371592 T(n, 2^n) = A035508(n).
%e A371592 Table T(n, k) begins:
%e A371592     0
%e A371592     1, 2
%e A371592     3, 4, 5, 7
%e A371592     6, 8, 9, 10, 12, 13, 15, 20
%e A371592     11, 14, 16, 17, 18, 21, 22, 23, 25, 26, 28, 33, 34, 36, 41, 54
%e A371592     ...
%o A371592 (PARI) \\ See Links section.
%Y A371592 See A371590 for a similar sequence.
%Y A371592 Cf. A001911, A035508, A112310, A371593 (inverse).
%K A371592 nonn,base,tabf
%O A371592 0,3
%A A371592 _Rémy Sigrist_, Mar 28 2024