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Search: id:A117372
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| A117372 |
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Riordan array (1-3x,x(1-x)). |
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+0 3
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| 1, -3, 1, 0, -4, 1, 0, 3, -5, 1, 0, 0, 7, -6, 1, 0, 0, -3, 12, -7, 1, 0, 0, 0, -10, 18, -8, 1, 0, 0, 0, 3, -22, 25, -9, 1, 0, 0, 0, 0, 13, -40, 33, -10, 1, 0, 0, 0, 0, -3, 35, -65, 42, -11, 1, 0, 0, 0, 0, 0, -16, 75, -98, 52, -12, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A117373. Diagonal sums are A117374. Inverse is A117375.
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FORMULA
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Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+3*C(k, n-k-1))
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EXAMPLE
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Triangle begins
1,
-3, 1,
0, -4, 1,
0, 3, -5, 1,
0, 0, 7, -6, 1,
0, 0, -3, 12, -7, 1,
0, 0, 0, -10, 18, -8, 1,
0, 0, 0, 3, -22, 25, -9, 1
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CROSSREFS
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Sequence in context: A067882 A110033 A127569 this_sequence A127570 A045406 A133728
Adjacent sequences: A117369 A117370 A117371 this_sequence A117373 A117374 A117375
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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), Mar 10 2006
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