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A383062 Nonnegative integers such that every odd digit except the leftmost is immediately preceded by a smaller digit.

%I A383062 #11 Apr 30 2025 11:08:42
%S A383062 0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,
%T A383062 28,29,30,32,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,52,54,56,57,
%U A383062 58,59,60,62,64,66,67,68,69,70,72,74,76,78,79,80,82,84,86,88,89,90
%N A383062 Nonnegative integers such that every odd digit except the leftmost is immediately preceded by a smaller digit.
%C A383062 Conjecture: these are the terms of A383059, sorted.
%H A383062 Paolo Xausa, <a href="/A383062/b383062.txt">Table of n, a(n) for n = 1..10000</a>
%t A383062 A383062Q[k_] := FreeQ[Partition[IntegerDigits[k], 2, 1], {i_, j_?OddQ} /; i >= j];
%t A383062 Select[Range[0, 100], A383062Q]
%o A383062 (Python)
%o A383062 def ok(n):
%o A383062     s = str(n)
%o A383062     return all(s[i+1] > s[i] for i in range(len(s)-1) if s[i+1] in "13579")
%o A383062 print([k for k in range(91) if ok(k)]) # _Michael S. Branicky_, Apr 19 2025
%Y A383062 Cf. A383059, A383061 (complement).
%Y A383062 Cf. A377912, A382465, A382624, A382938, A383246, A383248, A383250, A383501.
%K A383062 nonn,base,easy
%O A383062 1,3
%A A383062 _Paolo Xausa_, Apr 18 2025