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A247843 Consecutive exclusionary squares: Numbers n such that n^2 does not contain digits of n and (n+1)^2 does not contain digits of n+1.

%I A247843 #19 May 22 2025 10:21:40
%S A247843 2,3,7,8,17,33,38,53,57,58,157,187,237,313,333,557,558,672,688,738,
%T A247843 787,788,812,813,853,1557,2087,2107,2112,3112,3113,3157,3333,3357,
%U A247843 3358,4453,4553,5598,5857,6672,6688,7017,7287,7772,7888,7908,8087,8337,15787,17157,18557,22112,32358
%N A247843 Consecutive exclusionary squares: Numbers n such that n^2 does not contain digits of n and (n+1)^2 does not contain digits of n+1.
%H A247843 Derek Orr, <a href="/A247843/b247843.txt">Table of n, a(n) for n = 1..53</a>
%o A247843 (Python)
%o A247843 for n in range(10**5):
%o A247843   s,t = str(n),str(n+1)
%o A247843   s2,t2 = str(n**2),str((n+1)**2)
%o A247843   c = 0
%o A247843   for i in s:
%o A247843     if s2.count(i):
%o A247843       c += 1
%o A247843       break
%o A247843   for j in t:
%o A247843     if t2.count(j):
%o A247843       c += 1
%o A247843       break
%o A247843   if not c:
%o A247843     print(n,end=', ')
%Y A247843 Cf. A029783.
%K A247843 nonn,base
%O A247843 1,1
%A A247843 _Derek Orr_, Sep 25 2014