A082217 Smallest palindrome beginning with n and digit sum n, or 0 if no such number exists.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10801, 11711, 12621, 13531, 14441, 15351, 16261, 17171, 1881, 0, 208802, 2139312, 227722, 2329232, 246642, 2519152, 265562

Offset

1,2

Comments

a(19) = 0. This is the only zero in the sequence. Every other integer k > 9 has digit sum <= k/2, so the center can always be filled in to make a palindrome.

Links

Table of n, a(n) for n=1..26.

Crossrefs

Cf. A056544, A082216.

Sequence in context: A004915 A135385 A087051 * A082935 A077739 A078213

Adjacent sequences: A082214 A082215 A082216 * A082218 A082219 A082220

Keyword

base,easy,nonn

Author

Amarnath Murthy and Meenakshi Shrikant (menakan_s(AT)yahoo.com), Apr 09 2003

Status

approved