The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A175298 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A175298

Smallest number >=n whose binary representation is palindromic and has a 1 whenever the binary representation of n has a 1.
(history; published version)

#22 by Alois P. Heinz at Sat Dec 30 11:38:07 EST 2017

STATUS

editing

approved

#21 by Alois P. Heinz at Sat Dec 30 11:38:02 EST 2017

LINKS

Alois P. Heinz, <a href="/A175298/b175298.txt">Table of n, a(n) for n = 0..16383</a>

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approved

editing

#20 by N. J. A. Sloane at Wed Dec 09 22:13:23 EST 2015

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editing

approved

#19 by N. J. A. Sloane at Wed Dec 09 22:13:21 EST 2015

CROSSREFS

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

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approved

editing

#18 by N. J. A. Sloane at Wed Dec 09 19:02:58 EST 2015

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editing

approved

#17 by N. J. A. Sloane at Wed Dec 09 19:02:55 EST 2015

DATA

0, 1, 3, 3, 5, 5, 7, 7, 9, 9, 15, 15, 15, 15, 15, 15, 17, 17, 27, 27, 21, 21, 31, 31, 27, 27, 27, 27, 31, 31, 31, 31, 33, 33, 51, 51, 45, 45, 63, 63, 45, 45, 63, 63, 45, 45, 63, 63, 51, 51, 51, 51, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 63, 65, 65, 99, 99, 85, 85, 119, 119, 73

OFFSET

1,2

0,3

EXTENSIONS

Edited with new name and offset by N. J. A. Sloane, Dec 08 2015

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approved

editing

#16 by N. J. A. Sloane at Tue Dec 08 18:55:34 EST 2015

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approved

#15 by N. J. A. Sloane at Tue Dec 08 18:55:31 EST 2015

COMMENTS

This is the binary next-palindrome function, the base-2 analog of A262038. - _N. J. A. Sloane_, Dec 08 2015

EXTENSIONS

Edited with new name by N. J. A. Sloane, Dec 08 2015

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approved

editing

#14 by N. J. A. Sloane at Tue Dec 08 18:54:52 EST 2015

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editing

approved

#13 by N. J. A. Sloane at Tue Dec 08 18:54:40 EST 2015

NAME

Convert n to binary. OR each respective digit of binary n and binary A030101(n), where A030101(n) is the reversal of the order of the digits in the binary representation of n (given in decimal). a(n) is the decimal value of the result.

Smallest number >=n whose binary representation is palindromic and has a 1 whenever the binary representation of n has a 1.

COMMENTS

Old name: "Convert n to binary. OR each respective digit of binary n and binary A030101(n), where A030101(n) is the reversal of the order of the digits in the binary representation of n (given in decimal). a(n) is the decimal value of the result."

This is the binary next-palindrome function, the base-2 analog of A262038.

CROSSREFS

Cf. A006995, A030101, A175297, A262038.

EXTENSIONS

Edited by N. J. A. Sloane, Dec 08 2015

STATUS

approved

editing