A261913 The palindromic order of n (defined in Comments).

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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2

Offset

0,11

Comments

Order 1: palindromes (A002113);

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

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

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

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

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..20000

Formula

a(n) = A088601(n). - R. J. Mathar, Feb 14 2023

Crossrefs

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

Closely related to A261675. See also A088601.

Sequence in context: A257474 A257317 A163376 * A088601 A261675 A028950

Adjacent sequences: A261910 A261911 A261912 * A261914 A261915 A261916

Keyword

nonn,base

Author

N. J. A. Sloane, Sep 10 2015

Status

approved