Search: id:A097367
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%I A097367
%S A097367 1,2,1,3,2,2,4,3,1,3,5,4,3,2,4,6,5,4,2,3,5,7,6,5,4,1,4,6,8,7,6,5,3,3,5,
%T A097367 7,9,8,7,6,5,2,4,6,8,10,9,8,7,6,4,2,5,7,9,11,10,9,8,7,6,3,4,6,8,10,12,
%U A097367 11,10,9,8,7,5,1,5,7,9,11,13,12,11,10,9,8,7,4,3,6,8,10,12,14,13,12,11
%N A097367 Fibonacci regression array: For n>=2 and 1<=k<=n-1, T(n,k) is the last 
               term before the first nonpositive term in the sequence n, k, n-k, 
               2k-n, 2n-3k, 5k-3n, ...
%F A097367 For n > k >= 1, define d(1)=n, d(2)=k, d(j) = d(j-2) - d(j-1) for j >
               = 3. Then d(j) = F(j-2)*n - F(j-1)*k for odd j>=1 and d(j) = F(j-1)*k 
               - F(j-2)*n for even j>=2, where F(h)=A000045(h) = hth Fibonacci number. 
               The sequence d is the aforementioned sequence n, k, n-k, 2k-n, 2n-3k, 
               5k-3n, ...
%e A097367 Rows 2,3,4,5,6:
%e A097367 1
%e A097367 2 1
%e A097367 3 2 2
%e A097367 4 3 1 3
%e A097367 5 4 3 2 4
%e A097367 T(8,5)=1, last term before 0 in 8,5,3,2,1,1,0,1,-1,...
%e A097367 T(8,6)=4, last term before -2 in 8,6,2,4,-2,6,-8,14,...
%Y A097367 Cf. A000045, A097368, A097369.
%Y A097367 Sequence in context: A069013 A029281 A126792 this_sequence A130211 A102364 
               A132923
%Y A097367 Adjacent sequences: A097364 A097365 A097366 this_sequence A097368 A097369 
               A097370
%K A097367 nonn,tabl
%O A097367 1,2
%A A097367 Clark Kimberling (ck6(AT)evansville.edu), Aug 09 2004

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