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A215256 Longest palindromic factor of (n base 2); in case of tie choose largest; if it begins with 0 complement it. 2
1, 1, 1, 11, 11, 101, 11, 111, 111, 1001, 101, 101, 11, 101, 111, 1111, 1111, 10001, 1001, 1001, 101, 10101, 1001, 111, 111, 1001, 101, 11011, 111, 111, 1111, 11111, 11111, 100001, 10001, 10001, 11011, 1001, 1001, 1001, 101, 1001, 10101, 10101, 1001, 101101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The "if it begins with 0 complement it" clause is required because nonzero terms in the OEIS may not begin with 0.

LINKS

Lars Blomberg, Table of n, a(n) for n = 0..9999

EXAMPLE

n=10 = 1010, longest palindromic factor is 101.

n=12 = 1100, there are two palindromic factors of length 2, namely 11 and 00, and we choose the larger, 11.

n=24 = 11000, longest palindromic factor is 000, complementing gives 111.

CROSSREFS

Cf. A050430, A215467.

Sequence in context: A241870 A243127 A088761 * A265526 A265559 A265543

Adjacent sequences:  A215253 A215254 A215255 * A215257 A215258 A215259

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Aug 15 2012

EXTENSIONS

More terms from Lars Blomberg, Jun 29 2014

STATUS

approved

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Last modified February 25 02:54 EST 2020. Contains 332217 sequences. (Running on oeis4.)