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A141169
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Triangle of Fibonacci numbers, read by rows: T(n,k) = A000045(k), 0<=k<=n.
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3
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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, 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, 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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,10
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COMMENTS
| T(n,0) = A000004(n); T(n,n) = A000045(n);
central terms: T(2*n,n) = A000045(n);
sums of rows: Sum(T(n,k): 0<=k<=n) = A000071(n+2);
alternating sums of rows: Sum(T(n,k)*(-1)^k: 0<=k<=n) = A119282(n);
T(n,k) + T(n,n-k) = A094570(n,k).
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LINKS
| Reinhard Zumkeller, Rows n=0..125 of triangle, flattened
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PROG
| (Haskell)
a141169 n k = a141169_tab !! n !! k
a141169_tab = iterate fib [0] where fib rs = 0 : zipWith (+) rs (1 : rs)
a141169_flatList = concat $ a141169_tab
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CROSSREFS
| Sequence in context: A039802 A126726 A143656 * A180177 A104578 A180243
Adjacent sequences: A141166 A141167 A141168 * A141170 A141171 A141172
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KEYWORD
| nonn,tabl
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 21 2011
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