A261913 - OEIS

%I #23 Oct 14 2023 11:37:45

%S 1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,3,1,2,2,2,2,2,2,2,2,2,3,1,

%T 2,2,2,2,2,2,2,2,2,3,1,2,2,2,2,2,2,2,2,2,3,1,2,2,2,2,2,2,2,2,2,3,1,2,

%U 2,2,2,2,2,2,2,2,3,1,2,2,2,2,2,2,2,2,2,3,1,2

%N The palindromic order of n (defined in Comments).

%C Order 1: palindromes (A002113);

%C Order 2: not order 1 but is the sum of two palindromes (A261907);

%C Order 3: not order 1 or 2, but n - previous_palindrome(n) (i.e., n - A261914(n)) gives a number of order 2 (A261910);

%C Order 4: not order 1, 2, or 3, but subtracting previous_palindrome(previous_palindrome(n)) gives a number of order 2 (A261911);

%C Order 5: not orders 1, 2, 3, or 4 (A261912).

%H N. J. A. Sloane, <a href="/A261913/b261913.txt">Table of n, a(n) for n = 0..20000</a>

%F a(n) = A088601(n). - _R. J. Mathar_, Feb 14 2023

%Y Cf. A002113, A261423, A261907, A261910, A261911, A261912, A261914.

%Y Closely related to A261675. See also A088601.

%K nonn,base

%O 0,11

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