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A206917 Sum of binary palindromes in the half-open interval [2^(n-1), 2^n). 1
0, 1, 3, 12, 24, 96, 192, 768, 1536, 6144, 12288, 49152, 98304, 393216, 786432, 3145728, 6291456, 25165824, 50331648, 201326592, 402653184, 1610612736, 3221225472, 12884901888, 25769803776, 103079215104, 206158430208, 824633720832, 1649267441664, 6597069766656 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

First differences of A206918.

LINKS

Table of n, a(n) for n=0..29.

Index to sequences related to palindromes

FORMULA

a(n) = (3/8)*2^(n+floor((n+1)/2)).

a(n) = 8*a(n-2) for n>3. G.f.: -x*(4*x^2+3*x+1) / (8*x^2-1). - Colin Barker, May 31 2013

EXAMPLE

a(0) = 0, since there is no binary palindrome 2^(-1) <= p < 2^0;

a(3) = 12, since 2^2 <= p < 2^3 for p = 5 and p = 7.

CROSSREFS

Sequence in context: A028725 A047166 A076506 * A320334 A009776 A068967

Adjacent sequences:  A206914 A206915 A206916 * A206918 A206919 A206920

KEYWORD

nonn,base,easy

AUTHOR

Hieronymus Fischer, Feb 18 2012

EXTENSIONS

More terms from Colin Barker, May 31 2013

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)