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.

A288854 The unique longest sequence of squares where each number (after the first) is obtained by prefixing a single digit to its predecessor.

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%I A288854 #23 Jun 19 2017 12:03:21
%S A288854 25,625,5625,75625,275625
%N A288854 The unique longest sequence of squares where each number (after the first) is obtained by prefixing a single digit to its predecessor.
%C A288854 This chain with five squares is the longest which exists in this context, there is no such sequence of length >= 6.
%C A288854 There are also only four chains of maximal length 4 with:
%C A288854 -> 25, 225, 1225, 81225. These four squares are the first terms of A061839.
%C A288854 -> 25, 225, 4225, 34225.
%C A288854 -> 25, 225, 7225, 27225. These four squares are the first terms of A191486.
%C A288854 -> 25, 625, 5625, 15625.
%C A288854 There are also only three chains of maximal length 3 with:
%C A288854 -> 3025, 93025, 893025.
%C A288854 -> 30625, 330625, 3330625.
%C A288854 -> 50625, 950625, 4950625.
%C A288854 See Crux Mathematicorum links.
%H A288854 L. Csirmaz, <a href="https://cms.math.ca/crux/backfile/Crux_v7n09_Nov.pdf">Problem 526, solution</a>, Crux Mathematicorum, page 280, Vol.7, Nov. 81.
%H A288854 Friend H. Kierstead, Jr., <a href="https://cms.math.ca/crux/backfile/Crux_v7n03_Mar.pdf">Problem 526, partial solution</a>, Crux Mathematicorum, page 87, Vol.7, Mar. 81.
%e A288854 25 = 5^2; 625 = 25^2; 5625 = 75^2; 75625 = 275^2; 275625 = 525^2.
%Y A288854 Cf. A061839, A191486.
%K A288854 nonn,fini,full,base
%O A288854 1,1
%A A288854 _Bernard Schott_, Jun 18 2017