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A141169 Triangle of Fibonacci numbers, read by rows: T(n,k) = A000045(k), 0<=k<=n.

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%I A141169 #19 Aug 24 2015 02:02:10
%S A141169 0,0,1,0,1,1,0,1,1,2,0,1,1,2,3,0,1,1,2,3,5,0,1,1,2,3,5,8,0,1,1,2,3,5,
%T A141169 8,13,0,1,1,2,3,5,8,13,21,0,1,1,2,3,5,8,13,21,34,0,1,1,2,3,5,8,13,21,
%U A141169 34,55,0,1,1,2,3,5,8,13,21,34,55,89,0,1,1,2,3,5,8,13,21,34,55,89,144,0,1,1,2,3,5,8,13,21
%N A141169 Triangle of Fibonacci numbers, read by rows: T(n,k) = A000045(k), 0<=k<=n.
%C A141169 T(n,0) = A000004(n); T(n,n) = A000045(n);
%C A141169 central terms: T(2*n,n) = A000045(n);
%C A141169 sums of rows: Sum(T(n,k): 0<=k<=n) = A000071(n+2);
%C A141169 alternating sums of rows: Sum(T(n,k)*(-1)^k: 0<=k<=n) = A119282(n);
%C A141169 T(n,k) + T(n,n-k) = A094570(n,k).
%H A141169 Reinhard Zumkeller, <a href="/A141169/b141169.txt">Rows n=0..125 of triangle, flattened</a>
%o A141169 (Haskell)
%o A141169 import Data.List (inits)
%o A141169 a141169 n k = a141169_tabl !! n !! k
%o A141169 a141169_row n = a141169_tabl !! n
%o A141169 a141169_tabl = tail $ inits a000045_list
%o A141169 a141169_list = concat $ a141169_tabl
%o A141169 -- _Reinhard Zumkeller_, Aug 24 2015, Mar 21 2011
%Y A141169 Cf. A000045, A000004, A000071, A094570, A119282.
%K A141169 nonn,tabl
%O A141169 0,10
%A A141169 _Reinhard Zumkeller_, Mar 21 2011