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A361401 Irregular table T(n, k), n >= 0, k = 1..A361398(n); the n-th row lists the numbers whose binary expansion is a self-infiltration of that of n.

%I A361401 #15 Mar 15 2023 16:27:42
%S A361401 0,1,3,2,4,6,10,12,3,7,15,4,8,12,16,20,24,36,40,48,5,9,11,13,19,21,25,
%T A361401 27,43,45,51,53,6,12,14,26,28,30,54,58,60,7,15,31,63,8,16,24,32,40,48,
%U A361401 64,72,80,96,136,144,160,192
%N A361401 Irregular table T(n, k), n >= 0, k = 1..A361398(n); the n-th row lists the numbers whose binary expansion is a self-infiltration of that of n.
%C A361401 See A361398 for the definition of an infiltration (a self-infiltration is an infiltration a of word with itself).
%C A361401 The terms of the n-th row of A358893 appear in the n-th row of the present table (they correspond to terms with twice as many binary digits as n).
%H A361401 Rémy Sigrist, <a href="/A361401/b361401.txt">Table of n, a(n) for n = 0..10102</a> (rows for n = 0..82 flattened)
%H A361401 Rémy Sigrist, <a href="/A361401/a361401.gp.txt">PARI program</a>
%H A361401 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A361401 T(n, 1) = 1.
%F A361401 T(n, A361398(n)) = A330941(n).
%e A361401 Table T(n, k) begins:
%e A361401   n  n-th row
%e A361401   -  ---------------------------------------------------------
%e A361401   0  0
%e A361401   1  1, 3
%e A361401   2  2, 4, 6, 10, 12
%e A361401   3  3, 7, 15
%e A361401   4  4, 8, 12, 16, 20, 24, 36, 40, 48
%e A361401   5  5, 9, 11, 13, 19, 21, 25, 27, 43, 45, 51, 53
%e A361401   6  6, 12, 14, 26, 28, 30, 54, 58, 60
%e A361401   7  7, 15, 31, 63
%e A361401   8  8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 136, 144, 160, 192
%o A361401 (PARI) See Links section.
%Y A361401 Cf. A330941, A358893, A361398.
%K A361401 nonn,base,tabf
%O A361401 0,3
%A A361401 _Rémy Sigrist_, Mar 10 2023