Search: id:A135446
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%I A135446
%S A135446 1,1,3,10,19,33,62,125,255,514,1027,2049,4094,8189,16383,32770,65539,
%T A135446 131073,262142,524285,1048575,2097154,4194307,8388609,16777214,33554429,
%U A135446 67108863,134217730,268435459,536870913,1073741822
%V A135446 -1,-1,3,10,19,33,62,125,255,514,1027,2049,4094,8189,16383,32770,65539,
               131073,262142,
%W A135446 524285,1048575,2097154,4194307,8388609,16777214,33554429,67108863,134217730,
               268435459,
%X A135446 536870913,1073741822
%N A135446 a(n)=3a(n-1)-3a(n-2)+2a(n-3).
%C A135446 Sequence identical to its third differences.
%F A135446 a(n+1)-2a(n) = hexaperiodic 1, 5, 4, -1, -5, -4, A130815.
%F A135446 a(n) = 2^n-2*cos((Pi*n)/3)-(4*3^0.5/3)*sin((Pi*n)/3). Or, a(n)=2^n + 
               [ -2; -3; -1; 2; 3; 1]. - Richard Choulet (richardchoulet(AT)yahoo.fr), 
               Dec 31 2007
%t A135446 a = {-1, -1, 3}; Do[AppendTo[a, 3*a[[ -1]] - 3*a[[ -2]] + 2*a[[ -3]]], 
               {40}]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Dec 22 2007
%Y A135446 Sequence in context: A064027 A028878 A010896 this_sequence A160002 A027177 
               A048343
%Y A135446 Adjacent sequences: A135443 A135444 A135445 this_sequence A135447 A135448 
               A135449
%K A135446 sign
%O A135446 0,3
%A A135446 Paul Curtz (bpcrtz(AT)free.fr), Dec 13 2007
%E A135446 More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Dec 22 2007

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