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A094570
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Triangle T(n,k) read by rows: T(n,k) = F(k) + F(n-k) where F(n) is the n-th Fibonacci number.
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3
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0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 5, 4, 3, 3, 4, 5, 8, 6, 4, 4, 4, 6, 8, 13, 9, 6, 5, 5, 6, 9, 13, 21, 14, 9, 7, 6, 7, 9, 14, 21, 34, 22, 14, 10, 8, 8, 10, 14, 22, 34, 55, 35, 22, 15, 11, 10, 11, 15, 22, 35, 55, 89, 56, 35, 23, 16, 13, 13, 16, 23, 35, 56, 89, 144, 90, 56, 36, 24, 18
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| T(n,0)=T(n,n)=A000045(n); T(2*n,n)=A006355(n+1); T(n,k)=A141169(n,k)+A141169(n,n-k). [Reinhard Zumkeller, Mar 21 2011]
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LINKS
| Reinhard Zumkeller, Rows n=0..125 of triangle, flattened
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FORMULA
| Row n: F(0)+F(n), F(1)+F(n-1), F(2)+F(n-2), ..., F(n-1)+F(1), F(n)+F(0)
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EXAMPLE
| Triangle begins:
0;
1, 1;
1, 2, 1;
2, 2, 2, 2;
3, 3, 2, 3, 3;
5, 4, 3, 3, 4, 5;
8, 6, 4, 4, 4, 6, 8;
13, 9, 6, 5, 5, 6, 9, 13;
21, 14, 9, 7, 6, 7, 9, 14, 21;
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CROSSREFS
| Cf. A000045.
Sequence in context: A160089 A129363 A053597 * A002375 A045917 A029379
Adjacent sequences: A094567 A094568 A094569 * A094571 A094572 A094573
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KEYWORD
| nonn,tabl
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), May 12 2004
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