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.

A045571 Numbers that are palindromic, divisible by 11 and have an odd number of digits.

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%I A045571 #9 Jan 11 2021 02:49:30
%S A045571 121,242,363,484,616,737,858,979,10901,11011,12221,13431,14641,15851,
%T A045571 17171,18381,19591,20702,21912,22022,23232,24442,25652,26862,28182,
%U A045571 29392,30503,31713,32923,33033,34243,35453,36663,37873,39193,40304
%N A045571 Numbers that are palindromic, divisible by 11 and have an odd number of digits.
%C A045571 All the palindromic numbers with an even number of digits are divisible by 11. The number of palindromic numbers with 2*k+1 digits that are divisible by 11 is (10^(k+1) + (-1)^k)/11, and their asymptotic relative density within the set of all palindromic numbers with an odd number of digits (A056525) is 1/11 (Schmidt, 1988). - _Amiram Eldar_, Jan 11 2021
%H A045571 Amiram Eldar, <a href="/A045571/b045571.txt">Table of n, a(n) for n = 1..10000</a>
%H A045571 Harvey Schmidt, Jr., <a href="https://www.jstor.org/stable/2689549">Palindromes: Density and Divisibility</a>, Mathematics Magazine, Vol. 61, No. 5 (1988), pp. 297-300.
%t A045571 Select[11 * Range[4000], PalindromeQ[#] && OddQ[IntegerLength[#]] &] (* _Amiram Eldar_, Jan 11 2021 *)
%Y A045571 Intersection of A056525 and A083852.
%K A045571 base,nonn
%O A045571 1,1
%A A045571 _Jeff Burch_