A056544 -id:A056544 - cp's OEIS frontend

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

Amarnath Murthy, Apr 08 2003

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

Cf. A002113, A056544.

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

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

Corrected by T. D. Noe, Mar 10 2011

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

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

Original entry on oeis.org

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

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

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.

Cf. A056544, A082216.

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A082216 Smallest palindrome beginning with n.

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

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