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.

A192219 Numbers m such that set of divisors of m is equal to set of reversals of divisors of m but all divisors of m are not palindromic.

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%I A192219 #23 Feb 15 2025 05:36:30
%S A192219 1226221,13488431,123848321,12467976421,1030507050301,1120237320211,
%T A192219 1225559555221,1234469644321,1334459544331,11335577553311,
%U A192219 100330272033001,101222252222101,103023070320301,113143969341311,121363494363121,134312696213431
%N A192219 Numbers m such that set of divisors of m is equal to set of reversals of divisors of m but all divisors of m are not palindromic.
%C A192219 All terms are palindromic (subsequence of A002113 - palindromic numbers).
%C A192219 Subsequence of A188650 (numbers that are divisible by all reversals of their divisors).
%C A192219 Union a(n) and A062687 (numbers all of whose divisors are palindromic) is sequence of numbers m such that set of divisors of m is equal to set of reversals of divisors of m: {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 121, 131, ..., 1226221, ...}. - _Jaroslav Krizek_, Jul 18 2011
%e A192219 1226221 has divisors 1, 1021, 1201, 1226221. Set of divisors is equal to set of reversals of divisors. Divisors 1021 and 1201 are not palindromic.
%t A192219 t = Union[Flatten[Table[d = IntegerDigits[n]; {FromDigits[Join[d, Reverse[d]]], FromDigits[Join[d, Reverse[Most[d]]]]}, {n, 0, 99999}]]]; okQ[n_] := Module[{f = Divisors[n], r}, r = f; Do[r[[i]] = FromDigits[Reverse[IntegerDigits[f[[i]]]]], {i, Length[f]}];  f == Sort[r] && f != r]; Select[t, okQ] (* _T. D. Noe_, Jul 14 2011 *)
%K A192219 nonn,base
%O A192219 1,1
%A A192219 _Jaroslav Krizek_, Jul 13 2011
%E A192219 a(5)-a(16) (including six found by T. D. Noe) from _Donovan Johnson_, Jul 14 2011