This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A382624 #12 Apr 09 2025 01:10:00
%S A382624 1,2,3,4,5,6,7,8,9,10,11,13,15,17,19,20,21,23,25,27,29,30,31,32,33,35,
%T A382624 37,39,40,41,42,43,45,47,49,50,51,52,53,54,55,57,59,60,61,62,63,64,65,
%U A382624 67,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,89,90
%N A382624 Positive integers such that every even digit except the leftmost is immediately preceded by a larger digit.
%C A382624 Conjecture: these are the terms of A382621, sorted.
%H A382624 Paolo Xausa, <a href="/A382624/b382624.txt">Table of n, a(n) for n = 1..10000</a>
%t A382624 A382624Q[k_] := FreeQ[Partition[IntegerDigits[k], 2, 1], {i_, j_?EvenQ} /; i <= j];
%t A382624 Select[Range[100], A382624Q]
%o A382624 (Python)
%o A382624 def ok(n):
%o A382624 s = str(n)
%o A382624 return all(s[i+1] < s[i] for i in range(len(s)-1) if s[i+1] in "02468")
%o A382624 print([k for k in range(1, 91) if ok(k)]) # _Michael S. Branicky_, Apr 03 2025
%Y A382624 Cf. A377912, A382465, A382621, A382623 (complement).
%K A382624 nonn,base,easy
%O A382624 1,2
%A A382624 _Paolo Xausa_, Apr 01 2025