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.

A082937 Palindromes divisible by each of their digits.

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%I A082937 #19 Jul 22 2025 05:54:00
%S A082937 1,2,3,4,5,6,7,8,9,11,22,33,44,55,66,77,88,99,111,212,222,333,424,444,
%T A082937 515,555,636,666,777,848,888,999,1111,1771,2112,2222,2772,3333,4224,
%U A082937 4444,5115,5555,5775,6336,6666,7777,8448,8888,9999,11111,11711,13131,17171
%N A082937 Palindromes divisible by each of their digits.
%H A082937 Harvey P. Dale, <a href="/A082937/b082937.txt">Table of n, a(n) for n = 1..300</a>
%e A082937 424 is divisible by both 4 and 2.
%t A082937 Select[Range[20000],PalindromeQ[#]&&FreeQ[IntegerDigits[#],0]&&Union[Mod[ #,IntegerDigits[ #]]]=={0}&] (* _Harvey P. Dale_, Feb 08 2024 *)
%o A082937 (PARI) isok(n) = {my(d=digits(n)); if ((d == Vecrev(d)) && vecmin(d), d = Set(d); for (i=1, #d, if (n % d[i], return(0));); return (1);); return (0);} \\ _Michel Marcus_, May 26 2019
%Y A082937 Intersection of A002113 (palindromes in base 10) and A034838.
%Y A082937 Subsequence of A052382 (zeroless numbers).
%K A082937 base,nonn
%O A082937 1,2
%A A082937 Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 24 2003
%E A082937 More terms from _Michel Marcus_, May 26 2019
%E A082937 Definition clarified by _Harvey P. Dale_, Feb 08 2024