

A206914


Least binary palindrome >= n; the binary palindrome ceiling function.


75



0, 1, 3, 3, 5, 5, 7, 7, 9, 9, 15, 15, 15, 15, 15, 15, 17, 17, 21, 21, 21, 21, 27, 27, 27, 27, 27, 27, 31, 31, 31, 31, 33, 33, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 51, 51, 51, 51, 51, 51, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 65, 65, 73, 73
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OFFSET

0,3


COMMENTS

For n > 0 also the least binary palindrome > n  1;
a(n+1) is the least binary palindrome > n


LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000


FORMULA

a(n) = A006995(A206916(n));
a(n) = A006995(A206916(A206913(n1))+1);
a(n) = A006995(A206915(A206913(n1))+1);


EXAMPLE

a(0) = 0 since 0 is the least binary palindrome >= 0;
a(1) = 1 since 1 is the least binary palindrome >= 1;
a(2) = 3 since 3 is the least binary palindrome >= 2;
a(5) = 5 since 5 is the least binary palindrome >= 5;


PROG

(Haskell)
a206914 n = head $ dropWhile (< n) a006995_list
 Reinhard Zumkeller, Feb 27 2012


CROSSREFS

Cf. A206915, A206920, A006995.
Sequences related to palindromic floor and ceiling: A175298, A206913, A206914, A261423, A262038, and the large block of consecutive sequences beginning at A265509.
Sequence in context: A245150 A237718 A245149 * A175298 A245148 A073737
Adjacent sequences: A206911 A206912 A206913 * A206915 A206916 A206917


KEYWORD

nonn,base


AUTHOR

Hieronymus Fischer, Feb 15 2012


STATUS

approved



