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Numbers that are the sum of two nonzero palindromes but are not palindromes themselves.
8

%I #13 Sep 14 2015 20:14:35

%S 10,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,34,35,36,37,

%T 38,39,40,41,42,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,

%U 67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,89,90,91,92,93,94,95,96,97,100,102,103,104,105,106,107,108,109,110,112

%N Numbers that are the sum of two nonzero palindromes but are not palindromes themselves.

%H N. J. A. Sloane, <a href="/A261907/b261907.txt">Table of n, a(n) for n = 1..7814</a>

%p # bP has a list of all palindromes (from A002113):

%p a3:={}; M:=60; M2:=bP[M];

%p for i from 2 to M do

%p for j from i to M do

%p k:=bP[i]+bP[j];

%p if k <= M2 and digrev(k) <> k then a3:={op(a3),k}; fi;

%p od: od:

%p b3:=sort(convert(a3,list));

%Y Equals A261906 \ A002113. Cf. A213879, A260255.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Sep 09 2015