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A358893 Irregular triangle T(n, k), n >= 0, k = 1..A193020(n), read by rows: the n-th row lists the numbers obtained by self-shuffling the binary expansion of n.

%I A358893 #11 Dec 08 2022 01:51:33
%S A358893 0,3,10,12,15,36,40,48,43,45,51,53,54,58,60,63,136,144,160,192,147,
%T A358893 149,153,163,165,169,195,197,201,170,172,178,180,202,204,210,212,175,
%U A358893 183,187,207,215,219,204,212,216,228,232,240,219,221,235,237,243,245
%N A358893 Irregular triangle T(n, k), n >= 0, k = 1..A193020(n), read by rows: the n-th row lists the numbers obtained by self-shuffling the binary expansion of n.
%C A358893 See A358892 for the distinct values.
%C A358893 n and T(n, k) have the same parity.
%H A358893 Rémy Sigrist, <a href="/A358893/b358893.txt">Table of n, a(n) for n = 0..4768</a> (rows for n = 0..127 flattened)
%H A358893 Rémy Sigrist, <a href="/A358893/a358893.gp.txt">PARI program</a>
%H A358893 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A358893 T(n, 1) = A330940(n).
%F A358893 T(n, A193020(n)) = A330941(n).
%e A358893 Triangle T begins (in decimal):
%e A358893     n   n-th row
%e A358893     --  --------
%e A358893      0  0,
%e A358893      1  3,
%e A358893      2  10, 12,
%e A358893      3  15,
%e A358893      4  36, 40, 48,
%e A358893      5  43, 45, 51, 53,
%e A358893      6  54, 58, 60,
%e A358893      7  63,
%e A358893      8  136, 144, 160, 192,
%e A358893      9  147, 149, 153, 163, 165, 169, 195, 197, 201,
%e A358893      ...
%e A358893 Triangle T begins (in binary):
%e A358893     n     n-th row
%e A358893     ----  --------
%e A358893        0  0,
%e A358893        1  11,
%e A358893       10  1010, 1100,
%e A358893       11  1111,
%e A358893      100  100100, 101000, 110000,
%e A358893      101  101011, 101101, 110011, 110101,
%e A358893      110  110110, 111010, 111100,
%e A358893      111  111111,
%e A358893     1000  10001000, 10010000, 10100000, 11000000,
%e A358893     ...
%o A358893 (PARI) See Links section.
%Y A358893 Cf. A193020 (row lengths), A330940, A330941, A358892.
%K A358893 nonn,base,tabf
%O A358893 0,2
%A A358893 _Rémy Sigrist_, Dec 05 2022