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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. 3

%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

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Last modified August 21 02:07 EDT 2024. Contains 375342 sequences. (Running on oeis4.)