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Search: id:A113020
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| A113020 |
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Number triangle whose row sums are the Fibonacci numbers. |
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+0
2
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| 0, 0, 1, 0, 2, -1, 0, 3, -3, 2, 0, 4, -6, 8, -3, 0, 5, -10, 20, -15, 5, 0, 6, -15, 40, -45, 30, -8, 0, 7, -21, 70, -105, 105, -56, 13, 0, 0, 8, -28, 112, -210, 280, -224, 104, -21, 0, 9, -36, 168, -378, 630, -672, 468, -189, 34, 0, 10, -45, 240, -630, 1260, -1680, 1560, -945, 340, -55
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Rows sums are A000045. Diagonal sums are A113021. Main diagonal is (-1)^(n+1)F(n).
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FORMULA
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T(n, k)=sum{j=0..n, C(n, j)C(0, j-k)F(j-2k)}.
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EXAMPLE
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Rows begin
0;
0,1;
0,2,-1;
0,3,-3,2;
0,4,-6,8,-3;
0,5,-10,20,-15,5;
0,6,-15,40,-45,30,-8;
0,7,-21,70,-105,105,-56,13;
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CROSSREFS
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Cf. A094435.
Sequence in context: A055830 A079123 A121548 this_sequence A127258 A154557 A049242
Adjacent sequences: A113017 A113018 A113019 this_sequence A113021 A113022 A113023
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 11 2005
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