A082272 Smallest palindrome m such that n + m (m>0) is also a palindrome, or 0 if no such number exists.

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 11, 99, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 88, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 77, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 66, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 55, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 44, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 33, 9, 8, 7, 6, 5, 4, 3, 2, 1, 11, 22, 9, 8, 7, 6, 5, 4, 3

Offset

1,9

Comments

The first occurrence of 0 happens at n = 919.

Links

Table of n, a(n) for n=1..96.

Example

a(11) = 11, 11 + 11 = 22; a(12) = 99, 99 + 12 = 111; etc.

Prog

(PARI) ispal(n) = eval(concat(Vecrev(Str(n)))) == n;
nextpal(k) = k++; while(! ispal(k), k++); k;
a(n) = {m = 1; while (! ispal(n+m), m = nextpal(m)); m; } \\ Michel Marcus, Jul 24 2014

Crossrefs

Cf. A082273, A084843.

Sequence in context: A012900 A009288 A322513 * A107049 A295166 A345050

Adjacent sequences: A082269 A082270 A082271 * A082273 A082274 A082275

Keyword

nonn,base

Author

Amarnath Murthy, Apr 13 2003

Extensions

Edited by Patrick De Geest, Jun 08 2003

Status

approved