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A043545 (Maximal base 2 digit of n)-(minimal base 2 digit of n). 3
0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

FORMULA

0 followed by a string of 2^k - 1 1's. Also a(n)=0 iff n = 2^m - 1.

G.f.: 1/(1-x) - Sum_{k>=0} x^(2^k-1). - Michael Somos, Aug 25 2003

a(n)=(1+(-1)^C(n,floor(n/2)))/2; - Paul Barry (pbarry(AT)wit.ie), Jun 07 2006

Ignoring first zero and beginning instead with offset 2, a(n) = A006530(n) mod 2. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 09 2008

PROG

(PARI) a(n)=if(n<0, 0, n++; n!=2^valuation(n, 2))

CROSSREFS

Ones-complement of Fredholm-Rueppel sequence A036987.

Sequence in context: A143538 A011656 * A094754 A091225 A175337 A132380

Adjacent sequences:  A043542 A043543 A043544 * A043546 A043547 A043548

KEYWORD

nonn,base

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.