A347346 Smallest palindrome ending with n or 0 if n is a multiple of 10.

1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 212, 313, 414, 515, 616, 717, 818, 919, 0, 121, 22, 323, 424, 525, 626, 727, 828, 929, 0, 131, 232, 33, 434, 535, 636, 737, 838, 939, 0, 141, 242, 343, 44, 545, 646, 747, 848, 949, 0, 151, 252, 353, 454, 55, 656, 757, 858, 959

Offset: 1

Author

Chai Wah Wu, Aug 27 2021

Keywords

• nonn
• base
• look

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A004086, A082216, A347347.

Programs

Python

def A347346(n):
    if n % 10 == 0:
        return 0
    s = str(n)
    if s == s[::-1]:
        return n
    for i in range(1,len(s)):
        if s[:-i]== s[-i-1::-1]:
            return int(s[:-i-1:-1]+s)

Formula

If n is not a multiple of 10, then a(n) = A082216(A004086(n)).