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%I #16 Jun 15 2024 16:55:09
%S 1,2,3,6,7,11,24,25,28,29,30,44,45,46,97,98,99,102,103,113,114,115,
%T 118,119,123,177,178,179,182,183,187,388,392,393,396,397,398,408,409,
%U 412,413,414,452,456,457,460,461,462,472,473,476
%N Numbers whose base-4 representation Sum_{i=0..m} d(i)*4^i has d(m) < d(m-1) > d(m-2) < ...
%C For any term a(n) == 0 (mod 4), the three terms 4*a(n)+{1,2,3} are also in {a(n)}. If a(n) == 3 (mod 4), except for a(3)=3, then 4*a(n)+{0,1,2} are in the sequence. - _Christian N. K. Anderson_, May 24 2024
%H Christian N. K. Anderson, <a href="/A032842/b032842.txt">Table of n, a(n) for n = 1..10000</a>
%e The numbers {24, 25, 28, 29, 30, 44, 45, 46} are in the sequence because in base-4 they are {120, 121, 130, 131, 132, 230, 231, 232}, i.e., all the three-digit base-4 numbers that fit the pattern. - _Christian N. K. Anderson_, May 24 2024
%Y Cf. A032851 for digits <= or >= previous digit (also in base 4).
%Y Cf. A032841 for same sequence in base 3 (with program), A032843 base 5, A032844 base 6, A032845 base 7, A032846 base 8, A032847 base 9, A032848 base 10, and A032849 base 2.
%K nonn,base
%O 1,2
%A _Clark Kimberling_