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 A043545 (Maximal base-2 digit of n) - (minimal base-2 digit of n). 12
 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; text; internal format)
 OFFSET 0,1 COMMENTS Characteristic function of A062289 (non-Mersenne numbers A000225). - Omar E. Pol, Sep 05 2021 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Paul Barry, Conjectures and results on some generalized Rueppel sequences, arXiv:2107.00442 [math.CO], 2021. 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 - A036987(n). 1's complement of Fredhold-Rueppel sequence. - Michael Somos, Aug 25 2003 a(n) = (1 + (-1)^binomial(n, floor(n/2)))/2. - Paul Barry, Jun 07 2006 Ignoring first zero and beginning instead with offset 2, a(n) = A006530(n) mod 2. - Rick L. Shepherd, Jun 09 2008 a(n) = A000777(n) mod 2, for n > 0. - John M. Campbell, Jul 16 2016 EXAMPLE G.f. = x^2 + x^4 + x^5 + x^6 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + ... MATHEMATICA mb2d[n_]:=Module[{n2=IntegerDigits[n, 2]}, Max[n2]-Min[n2]]; Array[mb2d, 120, 0] (* Harvey P. Dale, Feb 24 2015 *) PROG (PARI) {a(n) = if( n<0, 0, n++; n != 2^valuation(n, 2))}; /* Michael Somos, Aug 25 2003 */ (PARI) a(n) = !!bitand(n, n+1); \\ Ruud H.G. van Tol, Sep 12 2023 (Haskell) a043545 = (1 -) . a036987 -- Reinhard Zumkeller, Nov 02 2013 CROSSREFS Cf. A000225, A036987, A062289. Column k=0 of A347519. Sequence in context: A353670 A252744 A340373 * A094754 A321694 A262684 Adjacent sequences: A043542 A043543 A043544 * A043546 A043547 A043548 KEYWORD nonn,base AUTHOR Clark Kimberling STATUS approved

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Last modified December 11 15:11 EST 2023. Contains 367727 sequences. (Running on oeis4.)