A082216 Smallest palindrome beginning with n.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 101, 11, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 22, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 33, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 44, 454, 464, 474, 484, 494, 505

Offset: 0

Author

Amarnath Murthy, Apr 08 2003

Keywords

• base
• easy
• nonn

Links

• T. D. Noe, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A002113, A056544.

Programs

Python

def A082216(n):
    s = str(n)
    t = s[::-1]
    if s == t:
        return n
    for i in range(1,len(s)):
        if s[i:] == t[:-i]:
            return int(s+t[-i:]) # Chai Wah Wu, Apr 13 2021

Formula

a(A002113(n)) = A002113(n). - Chai Wah Wu, Apr 13 2021

Extensions

Corrected by T. D. Noe, Mar 10 2011

a(0) added by Chai Wah Wu, Apr 14 2021