A244548 Palindromes n with nonzero digits such that n +/- the product of digits of n are both palindromes.

1, 2, 3, 4, 252, 15451, 25152, 25252, 25352, 25452, 36563, 51415, 52125, 52225, 52325, 52425, 63536, 92529, 1455541, 1545451, 1954591, 2255522, 2525252, 2853582, 2856582, 3354533, 3534353, 4155514, 4453544, 4456544, 4515154, 4543454, 4546454, 5145415, 5225225, 5334335, 5415145

Offset

1,2

Comments

These are the palindromes in A244547.

Links

Table of n, a(n) for n=1..37.

Example

252 has all digits > 0. 252 is a palindrome, 252 - 2*5*2 = 232 is a palindrome, and 252 + 2*5*2 = 272 is 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, 10^7, if(rev(n)==n, dig=digits(n); p=prod(k=1, #dig, dig[k]); if(p!=0, mi=n-p; ma=n+p; if(rev(mi)==mi&&rev(ma)==ma, print1(n, ", ")))))

Crossrefs

Cf. A114341, A229761, A007954, A244547.

Sequence in context: A085933 A244547 A114341 * A004877 A375585 A116022

Adjacent sequences: A244545 A244546 A244547 * A244549 A244550 A244551

Keyword

nonn,base

Author

Derek Orr, Jun 29 2014

Status

approved