Search: id:A094373
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%I A094373
%S A094373 1,2,3,5,9,17,33,65,129,257,513,1025,2049,4097,8193,16385,32769,65537,
%T A094373 131073,262145,524289,1048577,2097153,4194305,8388609,16777217,33554433,
%U A094373 67108865,134217729,268435457,536870913,1073741825,2147483649
%N A094373 Expansion of (1-x-x^2)/((1-x)(1-2x)).
%C A094373 Partial sum of 1,1,1,2,4,8,... Binomial transform of abs(A073097). Binomial 
               transform is A094374.
%C A094373 Partial sums are in A006127. - Paul Barry (pbarry(AT)wit.ie), Aug 05 
               2004
%F A094373 a(n)=(2^n-0^n)/2+1. a(2n)=2a(2n-1)-1, n>0.
%F A094373 Row sums of triangle A135225 - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Nov 23 2007
%F A094373 Equals A131577 + 1. - Paul Curtz (bpcrtz(AT)free.fr), Aug 07 2008
%F A094373 a(n)=2*a(n-1)-1 for n>1, a(0)=1, a(1)=2. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Sep 25 2009]
%o A094373 (Other) sage: [floor(gaussian_binomial(n,1,2)+2) for n in xrange(-1,32)] 
               # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 31 2009]
%Y A094373 Apart from the initial 1, identical to A000051.
%Y A094373 Cf. A135225.
%Y A094373 Sequence in context: A091697 A109740 A000051 this_sequence A061902 A166286 
               A110113
%Y A094373 Adjacent sequences: A094370 A094371 A094372 this_sequence A094374 A094375 
               A094376
%K A094373 easy,nonn
%O A094373 0,2
%A A094373 Paul Barry (pbarry(AT)wit.ie), Apr 28 2004

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