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.

A242946 Palindromes of length greater than 1 in decimal expansion of Blazys's constant (A233588).

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%I A242946 #6 Feb 16 2025 08:33:22
%S A242946 5665,66,383,171,88,888,88,44,444,44,33,22,575,282,828,464,969,33,525,
%T A242946 66,99,989,40,0,22,88,5665,66,3003,0,383,8338,33,62526,252,55,808,585,
%U A242946 33,99,545,77,44,0,11,44,282,696,99,44,444,44,646,919,212,0,99,44,444,44,353,535,595,252,22
%N A242946 Palindromes of length greater than 1 in decimal expansion of Blazys's constant (A233588).
%C A242946 Begin with the left (most significant) k digits and sequentially remove the first j leading digits until a palindrome is found; continue.
%C A242946 a(23) is actually 040 (which should be obvious), a(24) is 00, a(30) is 00, a(44) is 00, a(56) is 00, etc.
%C A242946 If the Blazys's constant is a normal number then all palindromes should eventually appear.
%H A242946 Eric W. Weisstein, <a href="https://mathworld.wolfram.com/NormalNumber.html">Normal Number</a>
%H A242946 <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%e A242946 Blazys's constant is 2.566543832171388844467529106332285751782972828702314645...
%t A242946 bc = RealDigits[ Fold[(#2 + #2/#1) &, 1, Reverse@ Prime@ Range@ 1000], 10, 1000][[1]]; palQ[n_] := n == Reverse[n]; k = 1; lst = {}; While[j = k + 1; k < 600, While[j < 600 - k, If[ palQ[ Take[ bc, {k, j}]], p = FromDigits[ Take[ bc, {k, j}]]; AppendTo[lst, p]; Print[p]]; j++]; k++]; lst
%Y A242946 Cf. A002113, A068046, A226536, A233588.
%K A242946 nonn,base
%O A242946 1,1
%A A242946 _Robert G. Wilson v_, May 27 2014