A244541 Numbers n such that n +/- the product of digits of n are both palindromes.

1, 2, 3, 4, 101, 202, 247, 252, 303, 348, 404, 505, 606, 707, 808, 843, 909, 1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009, 10001, 10101, 10201, 10301, 10401, 10501, 10601, 10701, 10801, 10901, 11011, 12021, 13031, 14041, 15051, 15451, 16061, 17071, 18081, 19091, 20002

Offset: 1

Author

Derek Orr, Jun 29 2014

Keywords

• nonn
• base

Examples

			252 + 2*5*2 = 272, a palindrome, and 252 - 2*5*2 = 232, also a palindrome. Thus 252 is a member of this sequence.
		

Crossrefs

Cf. A007954, A229546, A229547.

Programs

PARI

rev(n)={r="";for(i=1,#digits(n),r=concat(Str(digits(n)[i]),r));return(eval(r))}
for(n=1,10^5,dig=digits(n);p=prod(k=1,#dig,dig[k]);mi=n-p;ma=n+p;if(rev(mi)==mi&&rev(ma)==ma,print1(n,", ")))