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 A089263 First differences of A080791. 1
 0, 0, 1, -1, 2, -1, 0, -1, 3, -1, 0, -1, 1, -1, 0, -1, 4, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 5, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 3, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 6, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Number of trailing zeros in the binary representation of n, minus one if n is not a power of two. a(0) = 0 by convention. - Antti Karttunen, Sep 27 2018 LINKS Antti Karttunen, Table of n, a(n) for n = 0..65537 FORMULA a(0)=0, a(2n) = a(n) + 1, a(2n+1) = -1 + [n==0]. a(n) = A007814(n) + A036987(n-1) - 1. G.f.: sum(k>=0, t^2/(1+t), t=x^2^k). a(n) = A080791(n+1) - A080791(n). - Antti Karttunen, Sep 27 2018 PROG (PARI) a(n)=if(!n, n, (valuation(n, 2)+(2^valuation(n, 2)==n)-1)); \\ Check for n=0 added by Antti Karttunen, Sep 27 2018 (PARI) a(n)=if(n<1, 0, if(n%2==0, a(n/2)+1, -1+(((n-1)/2)==0))) CROSSREFS Cf. A080791, A088705. Sequence in context: A052249 A030528 A077227 * A156135 A047265 A185962 Adjacent sequences:  A089260 A089261 A089262 * A089264 A089265 A089266 KEYWORD sign,easy AUTHOR Ralf Stephan, Oct 30 2003 EXTENSIONS Definition corrected (A023416 replaced with A080791) by Antti Karttunen, Sep 27 2018 STATUS approved

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Last modified October 16 13:32 EDT 2019. Contains 328093 sequences. (Running on oeis4.)