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.

A110785 Palindromes in which the digits are in nonincreasing order halfway through.

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%I A110785 #11 Jul 31 2025 10:56:44
%S A110785 1,2,3,4,5,6,7,8,9,11,22,33,44,55,66,77,88,99,101,111,202,212,222,303,
%T A110785 313,323,333,404,414,424,434,444,505,515,525,535,545,555,606,616,626,
%U A110785 636,646,656,666,707,717,727,737,747,757,767,777,808,818,828,838,848
%N A110785 Palindromes in which the digits are in nonincreasing order halfway through.
%H A110785 Paolo Xausa, <a href="/A110785/b110785.txt">Table of n, a(n) for n = 1..10000</a>
%e A110785 After 111 the next term is 202 and not 121, 131, up to 191.
%t A110785 A110785Q[k_] := PalindromeQ[#] && (Length[#] <= 2 || Min[Differences[#[[;;Ceiling[Length[#]/2]]]]] <= 0) & [IntegerDigits[k]];
%t A110785 Select[Range[2000], A110785Q] (* _Paolo Xausa_, Jul 31 2025 *)
%Y A110785 Cf. A002113, A110784.
%K A110785 base,easy,nonn
%O A110785 1,2
%A A110785 _Amarnath Murthy_, Aug 12 2005