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 A082208 Palindromes for which the sum of the digits is also a palindrome. 3

%I

%S 0,1,2,3,4,5,6,7,8,9,11,22,33,44,101,111,121,131,141,151,161,171,191,

%T 202,212,222,232,242,252,272,303,313,323,333,353,404,414,434,515,787,

%U 868,949,1001,1111,1221,1331,2002,2112,2222,2992,3003,3113,3883,4004

%N Palindromes for which the sum of the digits is also a palindrome.

%e 4774 is in the sequence because (1) it is a palindrome and (2) the sum of its digits 4 + 7 + 7 + 4 = 22 is also a palindrome.

%p rev := proc (n) local nn; nn := convert(n, base, 10): add(nn[j]*10^(nops(nn)-j), j = 1 .. nops(nn)) end proc: sd := proc (n) options operator, arrow: add(convert(n, base, 10)[j], j = 1 .. nops(convert(n, base, 10))) end proc: a := proc (n) if rev(n) = n and rev(sd(n)) = sd(n) then n else end if end proc: seq(a(n), n = 0 .. 5000); # _Emeric Deutsch_, Jan 18 2009

%t d[n_]:=IntegerDigits[n]; sod[n_]:=Total[d[n]]; palQ[n_]:=Reverse[x=d[n]]==x; t={}; Do[If[palQ[n] && palQ[sod[n]],AppendTo[t,n]],{n,0,4005}]; t (* _Jayanta Basu_, May 15 2013 *)

%Y Cf. A002113, A082207.

%K base,nonn

%O 1,3

%A _Amarnath Murthy_, Apr 10 2003

%E More terms from Luc Stevens (lms022(AT)yahoo.com), Apr 16 2006; corrected Apr 18 2006; corrected Apr 20 2006

%E Edited by _N. J. A. Sloane_, Jan 14 2009 at the suggestion of _Ian Kent_

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Last modified August 4 15:44 EDT 2021. Contains 346447 sequences. (Running on oeis4.)