A114341 Palindromes n such that n+(product of digits of n) gives a larger palindrome.

1, 2, 3, 4, 252, 393, 525, 15451, 25152, 25252, 25352, 25452, 36563, 45154, 51415, 52125, 52225, 52325, 52425, 54145, 63536, 92529, 1455541, 1545451, 1569651, 1659561, 1954591, 1958591, 2255522, 2359532, 2525252, 2539352, 2552552

Offset

1,2

Comments

Each of the terms must contain no zeros. - Harvey P. Dale, Sep 18 2024

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

393 + 3*9*3 = 474.

Mathematica

Select[Range[256*10^4], FreeQ[IntegerDigits[#], 0]&&AllTrue[#+{0, Times@@IntegerDigits[#]}, PalindromeQ]&] (* Harvey P. Dale, Sep 18 2024 *)

Crossrefs

Sequence in context: A037433 A085933 A244547 * A244548 A004877 A375585

Adjacent sequences: A114338 A114339 A114340 * A114342 A114343 A114344

Keyword

base,nonn

Author

Giovanni Resta, Feb 08 2006

Status

approved