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