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

1,2

Links

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

Formula

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

Prog

(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)

Crossrefs

Cf. A004086, A082216, A347347.

Sequence in context: A080434 A062567 A069554 * A020485 A083116 A084044

Adjacent sequences: A347343 A347344 A347345 * A347347 A347348 A347349

Keyword

nonn,base,look

Author

Chai Wah Wu, Aug 27 2021

Status

approved