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a(n) = smallest base-3 palindrome m >= n such that every base-3 digit of n is <= the corresponding digit of m; m is written in base 3.
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%I #4 Dec 10 2015 10:36:13

%S 0,1,2,11,11,22,22,22,22,101,101,202,111,111,212,121,121,222,202,202,

%T 202,212,212,212,222,222,222,1001,1001,2002,1111,1111,2112,1221,1221,

%U 2222,1111,1111,2112,1111,1111,2112,1221,1221,2222,1221,1221,2222,1221,1221,2222,1221,1221,2222,2002,2002,2002,2112,2112,2112

%N a(n) = smallest base-3 palindrome m >= n such that every base-3 digit of n is <= the corresponding digit of m; m is written in base 3.

%Y Sequences related to palindromic floor and ceiling: A175298, A206913, A206914, A261423, A262038, and the large block of consecutive sequences beginning at A265509.

%Y See A206913 for the values of m written in base 10.

%K nonn,base

%O 0,3

%A _N. J. A. Sloane_, Dec 10 2015