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Search: id:A159864
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| A159864 |
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Difference array of Fibonacci numbers A000045 read by antidiagonals. |
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+0
1
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| 0, 1, 1, 1, 0, -1, 2, 1, 1, 2, 3, 1, 0, -1, -3, 5, 2, 1, 1, 2, 5, 8, 3, 1, 0, -1, -3, -8, 13, 5, 2, 1, 1, 2, 5, 13, 21, 8, 3, 1, 0, -1, -3, -8, -21, 34, 13, 5, 2, 1, 1, 2, 5, 13, 34, 55, 21, 8, 3, 1, 0, -1, -3, -8, -21, 55
(list; table; graph; listen)
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OFFSET
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0,7
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FORMULA
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Conjecture row sums: sum_{k=0..n} T(2n,k)=0. sum_{k=0..n} T(2n+1,k) = A025169(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 29 2009]
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EXAMPLE
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Triangle begins : 0 ; 1,1 ; 1,0,-1 ; 2,1,1,2 ; 3,1,0,-1,-3 ; ...
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MAPLE
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A159864Q := proc(n, k) option remember; if n = 0 then combinat[fibonacci](k) ; else procname(n-1, k+1) -procname(n-1, k) ; fi; end: A159864 := proc(n, k) A159864Q(k, n-k) ; end: for n from 0 to 5 do for k from 0 to n do printf("%d, ", A159864(n, k)) ; od: od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 29 2009]
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CROSSREFS
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Sequence in context: A114551 A166967 A136256 this_sequence A144790 A090996 A089309
Adjacent sequences: A159861 A159862 A159863 this_sequence A159865 A159866 A159867
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Philippe DELEHAM (koltoko(AT)wanadoo.fr), Apr 24 2009
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