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 A074755 #15 May 13 2025 00:54:34 %S A074755 5,7,13,11,11,13,12,13,12,13,13,11,10,12,12,13,12,12,12,11,13,12,12, %T A074755 10,10,13,13,13,11,13,12,10,10,11,11,13,13,10,13,11,13,12,13,12,12,13, %U A074755 12,12,12,12,12,11,10,10,13,13,13,13,13,13,11,13,12,10,11,11,13 %N A074755 Number of n-digit non-leading-zero trimorphic numbers (m such that m^3 ends in m). %C A074755 For n >= 3, I can show 8 <= a(n) <= 13 and I highly suspect that 10 <= a(n) <= 13 from empirical evidence. %C A074755 If n >= 3, there are 15 integers 0 <= x < 10^n with x == 0, 1 or -1 mod 5^n and x == 0, 1, -1, 2^(n-1)-1 or 2^(n-1)+1 mod 2^n, and a(n) is the number of these that are >= 10^(n-1). - _Robert Israel_, Jul 07 2014 %H A074755 Eric M. Schmidt, <a href="/A074755/b074755.txt">Table of n, a(n) for n = 1..1000</a> %p A074755 f:= n -> %p A074755 nops(select(`>=`,{seq(seq(chrem([a,b],[2^n,5^n]),a={0,1,2^(n-1)-1,2^(n-1)+1,-1}),b={0,1,-1})},10^(n-1))): %p A074755 seq(f(n), n=1..100); # _Robert Israel_, Jul 07 2014 %Y A074755 Cf. A033819. %K A074755 nonn,base %O A074755 1,1 %A A074755 _David W. Wilson_, Sep 28 2002