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Smallest palindrome beginning with n.
9

%I #19 Apr 15 2021 01:01:44

%S 0,1,2,3,4,5,6,7,8,9,101,11,121,131,141,151,161,171,181,191,202,212,

%T 22,232,242,252,262,272,282,292,303,313,323,33,343,353,363,373,383,

%U 393,404,414,424,434,44,454,464,474,484,494,505

%N Smallest palindrome beginning with n.

%H T. D. Noe, <a href="/A082216/b082216.txt">Table of n, a(n) for n = 0..10000</a>

%F a(A002113(n)) = A002113(n). - _Chai Wah Wu_, Apr 13 2021

%o (Python)

%o def A082216(n):

%o s = str(n)

%o t = s[::-1]

%o if s == t:

%o return n

%o for i in range(1,len(s)):

%o if s[i:] == t[:-i]:

%o return int(s+t[-i:]) # _Chai Wah Wu_, Apr 13 2021

%Y Cf. A002113, A056544.

%K base,easy,nonn

%O 0,3

%A _Amarnath Murthy_, Apr 08 2003

%E Corrected by _T. D. Noe_, Mar 10 2011

%E a(0) added by _Chai Wah Wu_, Apr 14 2021