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Search: id:A121575
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| A121575 |
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Riordan array (-sqrt(4x^2+8x+1)+2x+2),(sqrt(4x^2+8x+1)-2x-1)/2). |
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+0 3
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| 1, -2, 1, 6, -5, 1, -24, 24, -8, 1, 114, -123, 51, -11, 1, -600, 672, -312, 87, -14, 1, 3372, -3858, 1914, -618, 132, -17, 1, -19824, 22992, -11904, 4218, -1068, 186, -20, 1, 120426, -140991, 75183, -28383, 8043, -1689, 249, -23, 1, -749976, 884112, -481704, 190347, -58398, 13929, -2508, 321, -26, 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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First column is (-1)^n*A054872(n). Row sums are a signed version of A108524. Inverse of generalized Delannoy triangle A121574. Unsigned triangle is A121576.
Triangle T(n,k), 0<=k<=n, read by rows, given by [ -2, -1, -3, -1, -3, -1, -3, -1, -3, ...] DELTA [1, 0, 0, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 09 2006
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EXAMPLE
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Triangle begins
1,
-2, 1,
6, -5, 1,
-24, 24, -8, 1,
114, -123, 51, -11, 1,
-600, 672, -312, 87, -14, 1
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CROSSREFS
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Sequence in context: A116395 A133367 A121576 this_sequence A049444 A136124 A070918
Adjacent sequences: A121572 A121573 A121574 this_sequence A121576 A121577 A121578
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Aug 08 2006
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