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.

A071129 Squares which repeat with at least two full periods when written in base 3.

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%I A071129 #5 Aug 01 2018 10:28:07
%S A071129 4,121,841,6889,60025,62001,68644,534361,540225,1042441,4791721,
%T A071129 4809249,20811844,43072969,43125489,43283241,387499225,387656721,
%U A071129 388129401,567725929,713584369,1255284900,2231617600,3487020601,3487493025,3488910489,31381768201
%N A071129 Squares which repeat with at least two full periods when written in base 3.
%H A071129 Giovanni Resta, <a href="/A071129/b071129.txt">Table of n, a(n) for n = 1..131</a> (terms < 3^45)
%e A071129 11^2 = 121 = 1|1|1|1|1 in base 3.
%e A071129 249^2 = 62001 = 1001|1001|100 in base 3.
%t A071129 psq[b_, nd_] := Block[{sq={}, r, x}, Do[r = Mod[nd, p]; Do[x = (b^( Floor[nd/p] p) - 1)/(b^p - 1) t  b^r + Floor[t/b^(p - r)]; If[ IntegerQ@ Sqrt@ x, AppendTo[ sq, x]], {t, b^(p - 1), b^p - 1}], {p, nd/2}]; sq]; Union @@ (psq[3, #] & /@ Range[20]) (* _Giovanni Resta_, Aug 01 2018 *)
%Y A071129 Cf. A071128 (base 2) - A071135 (base 9), A069919 (base 10).
%K A071129 base,nonn
%O A071129 1,1
%A A071129 _Erich Friedman_, May 28 2002
%E A071129 a(25)-a(27) from _Giovanni Resta_, Aug 01 2018