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

Author

Giovanni Resta, Feb 08 2006

Keywords

• base
• nonn

Comments

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

Examples

			393 + 3*9*3 = 474.
		

Links

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

Programs

Mathematica

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