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%I A117378
%S A117378 1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,
%T A117378 4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1,3,4,1
%V A117378 1,-3,-4,-1,3,4,1,-3,-4,-1,3,4,1,-3,-4,-1,3,4,1,-3,-4,-1,3,4,1,-3,-4,-1,
               3,4,1,-3,-4,-1,
%W A117378 3,4,1,-3,-4,-1,3,4,1,-3,-4,-1,3,4,1,-3,-4,-1,3,4,1
%N A117378 Expansion of (1-4x)/(1-x+x^2).
%C A117378 Row sums of number triangle A117377.
%C A117378 Periodic sequence with period {1, -3, -4, -1, 3, 4}. [From Philippe DELEHAM 
               (kolotoko(AT)wanadoo.fr), Nov 03 2008]
%H A117378 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A117378 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%F A117378 a(n)=sum{k=0..n, (-1)^(n-k)(C(k,n-k)+4*C(k, n-k-1))}
%F A117378 a(n)=(1/6)*{3*(n mod 6)-[(n+1) mod 6)]-4*[(n+2) mod 6)]-3*[(n+3) mod 
               6)]+[(n+4) mod 6)]+4*[(n+5) mod 6)]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), 
               Feb 01 2008
%F A117378 a(n)=a(n-1)-a(n-2) ; a(0)=1, a(1)=-3. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 03 2008]
%Y A117378 Sequence in context: A124909 A090279 A101667 this_sequence A088197 A087517 
               A128529
%Y A117378 Adjacent sequences: A117375 A117376 A117377 this_sequence A117379 A117380 
               A117381
%K A117378 easy,sign
%O A117378 0,2
%A A117378 Paul Barry (pbarry(AT)wit.ie), Mar 10 2006

    
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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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