Search: id:A127982
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%I A127982
%S A127982 1,6,20,57,147,360,850,1959,4433,9894,21840,47781,103759,223908,480590,
%T A127982 1026723,2184525,4631202,9786700,20621985,43341131,90876576,190141770,
%U A127982 397060767,827675977,1722460830,3579139400,7426714269,15390299463
%N A127982 Numbers of the form (n - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12.
%D A127982 Bosma W. 2001. Signed bits and fast exponentiation. J. Th. des Nombres 
               de Bordeaux Vol.13, Fasc. 1
%H A127982 Bosma W. <a href="http://almira.math.u-bordeaux.fr/jtnb/2001-1/jtnb13-1.html#jourelec">
               Signed bits and fast exponentiation</a>.
%F A127982 a(n) = (n - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12
%F A127982 G.f.: -x*(3*x^2-x-1)/((1+x)*(2*x-1)^2*(x-1)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), 
               Aug 14 2009]
%t A127982 Table[(n - 1/3)2^(n) - n/2 + 1/4 + (-1)^n/12, {n, 1, 50}] (*Artur Jasinski*)
%Y A127982 Cf. A073371, A127976, A127978, A127979, A127980, A073371, A000337.
%Y A127982 Sequence in context: A014480 A048778 A048611 this_sequence A109164 A027984 
               A018808
%Y A127982 Adjacent sequences: A127979 A127980 A127981 this_sequence A127983 A127984 
               A127985
%K A127982 nonn
%O A127982 1,2
%A A127982 Artur Jasinski (grafix(AT)csl.pl), Feb 09 2007
%E A127982 G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, 
               Sep 16 2009.

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