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

1,2

Links

Table of n, a(n) for n=1..47.

Example

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

Prog

(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, ", ")))

Crossrefs

Cf. A007954, A229546, A229547.

Sequence in context: A037431 A262526 A171564 * A244542 A085935 A100981

Adjacent sequences: A244538 A244539 A244540 * A244542 A244543 A244544

Keyword

nonn,base

Author

Derek Orr, Jun 29 2014

Status

approved