A084998 Palindromes formed from the concatenation of n, sum of n and R(n), and R(n) with its leading zeros; or 0 if no such palindrome exists. R(k) is the digit reversal of k.

121, 242, 363, 484, 0, 0, 0, 0, 0, 101101, 112211, 123321, 134431, 145541, 156651, 167761, 178871, 189981, 0, 202202, 213312, 224422, 235532, 246642, 257752, 268862, 279972, 0, 2912192, 303303, 314413, 325523, 336633, 347743, 358853, 369963, 0, 3812183, 0

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

E.g. a(38)=3812183: 83+38=121 and 38_121_83 is a palindrome.

Mathematica

f[n_]:=FromDigits[Join[IntegerDigits[n], IntegerDigits[n+ IntegerReverse[ n]], Reverse[ IntegerDigits[n]]]]; Table[If[PalindromeQ[f[n]], f[n], 0], {n, 50}] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 13 2018 *)

Crossrefs

Sequence in context: A346507 A119378 A261618 * A082944 A131973 A045571

Adjacent sequences: A084995 A084996 A084997 * A084999 A085000 A085001

Keyword

nonn,base

Author

Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 01 2003

Extensions

New description from Charles R Greathouse IV, Aug 02 2010

Corrected and extended by Harvey P. Dale, Aug 13 2018

Status

approved