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.

A085934 Numbers k such that (digits of k sorted in ascending order) + (digital product of k) is a palindrome. Or, sortdigits(k) + digitproduct(k) is a palindrome.

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%I A085934 #21 Nov 07 2024 11:16:55
%S A085934 1,2,3,4,10,16,20,28,30,39,40,50,60,61,70,80,82,89,90,93,98,100,101,
%T A085934 110,127,166,172,179,188,197,200,202,217,220,236,247,263,271,274,300,
%U A085934 303,326,330,348,359,362,366,384,395,400,404,427,438,440,445,454,455,472
%N A085934 Numbers k such that (digits of k sorted in ascending order) + (digital product of k) is a palindrome. Or, sortdigits(k) + digitproduct(k) is a palindrome.
%H A085934 J.W.L. (Jan) Eerland, <a href="/A085934/b085934.txt">Table of n, a(n) for n = 1..4284</a> (all terms <= 10000000)
%e A085934 82 is a term because the digits of 82 sorted in ascending order are 28, the digital product of 82 is 16, and 28 + 16 = 44, a palindrome.
%t A085934 DeleteCases[ParallelTable[If[PalindromeQ[FromDigits[Sort[IntegerDigits[k]]]+Times@@IntegerDigits[k]],k,n],{k,1,10^7}],n] (* _J.W.L. (Jan) Eerland_, Nov 04 2024 *)
%Y A085934 Cf. A085932, A085933, A085935.
%K A085934 base,easy,nonn
%O A085934 1,2
%A A085934 _Jason Earls_ and _Amarnath Murthy_, Jul 14 2003