cp's OEIS Frontend

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.

A371239 Squarefree numbers that are zeroless in base 3 (A032924).

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%I A371239 #10 Mar 16 2024 05:22:22
%S A371239 1,2,5,7,13,14,17,22,23,26,41,43,53,67,70,71,77,79,122,130,131,133,
%T A371239 134,149,151,157,158,161,202,203,205,206,211,214,215,229,230,233,238,
%U A371239 239,241,365,367,373,374,377,391,394,395,401,403,445,446,449,454,455,457
%N A371239 Squarefree numbers that are zeroless in base 3 (A032924).
%C A371239 The relative asymptotic density of this sequence within the zeroless numbers in base 3 is 27/(4*Pi^2) = 1/A214549 = 0.683917... (Banks and Shparlinski, 2004).
%H A371239 Amiram Eldar, <a href="/A371239/b371239.txt">Table of n, a(n) for n = 1..10000</a>
%H A371239 William D. Banks and Igor E. Shparlinski, <a href="http://dx.doi.org/10.4064/aa112-4-1">Arithmetic properties of numbers with restricted digits</a>, Acta Arithmetica, Vol. 112, No. 4 (2004), pp. 313-332; <a href="https://eudml.org/doc/278042">alternative link</a>.
%t A371239 Select[Range[500], !MemberQ[IntegerDigits[#, 3], 0] && SquareFreeQ[#] &]
%o A371239 (PARI) is(n) = vecmin(digits(n, 3)) > 0 && issquarefree(n);
%Y A371239 Intersection of A005117 and A032924.
%Y A371239 Cf. A214549, A371240, A371241.
%K A371239 nonn,base,easy
%O A371239 1,2
%A A371239 _Amiram Eldar_, Mar 16 2024