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.
%I A117056 #11 Jul 05 2022 18:02:02 %S A117056 0,1,2,3,4,5,6,7,8,9,11,22,33,101,111,121,131,141,151,161,171,191,202, %T A117056 212,222,303,313,404,1001,1111,1221,1331,2002,2112,3003,3113,4004, %U A117056 10001,10101,10201,10301,10401,10501,10601,10701,10901,11011,11111,11211 %N A117056 Palindromes for which both the sum of the digits and the product of the digits are also palindromes. %H A117056 Chai Wah Wu, <a href="/A117056/b117056.txt">Table of n, a(n) for n = 1..10000</a> %e A117056 11711 is in the sequence because (1) it is a palindrome, (2)the sum of its digits 1+1+7+1+1=11 is a palindrome and (3)the product of its digits 1*1*7*1*1=7 is also a palindrome. %t A117056 id[n_]:=IntegerDigits[n]; palQ[n_]:=Reverse[x=id[n]]==x; t={}; Do[If[palQ[n] && palQ[Plus@@id[n]] && palQ[Times@@id[n]],AppendTo[t,n]],{n,0,11220}]; t (* _Jayanta Basu_, May 15 2013 *) %t A117056 Select[Range[0,12000],AllTrue[{#,Total[IntegerDigits[#]],Times@@IntegerDigits[#]},PalindromeQ]&] (* _Harvey P. Dale_, Jul 05 2022 *) %o A117056 (PARI) ispal(n)=n=digits(n);for(i=1,#n\2,if(n[i]!=n[#n+1-i],return(0)));1 %o A117056 is(n)=my(d=vecsort(digits(n)));ispal(sum(i=1,#d,d[i]))&&ispal(prod(i=1,#d,d[i]))&&ispal(n) \\ _Charles R Greathouse IV_, May 15 2013 %Y A117056 Cf. A002113. %K A117056 base,nonn %O A117056 1,3 %A A117056 Luc Stevens (lms022(AT)yahoo.com), Apr 16 2006