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

Author

Amarnath Murthy, Apr 13 2003

Keywords

• nonn
• base

Comments

The first occurrence of 0 happens at n = 919.

Examples

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

Crossrefs

Cf. A082273, A084843.

Programs

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

Extensions

Edited by Patrick De Geest, Jun 08 2003