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A105810
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Inverse of a Fibonacci-Pascal matrix A105809.
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3
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1, -1, 1, 0, -2, 1, 1, 2, -3, 1, -2, -1, 5, -4, 1, 3, -1, -6, 9, -5, 1, -4, 4, 5, -15, 14, -6, 1, 5, -8, -1, 20, -29, 20, -7, 1, -6, 13, -7, -21, 49, -49, 27, -8, 1, 7, -19, 20, 14, -70, 98, -76, 35, -9, 1, -8, 26, -39, 6, 84, -168, 174, -111, 44, -10, 1, 9, -34, 65, -45, -78, 252, -342, 285, -155, 54, -11, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| First column is A105811, row sums are A105812, diagonal sums are (-1)^n.
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FORMULA
| Riordan array ((1+x-x^2)/(1+x)^2, x/(1+x)); Number triangle T(n, 0)=A105811(n), T(n, m)=-T(n-1, m-1)+T(n-1, m).
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EXAMPLE
| 1;
-1,1;
0,-2,1;
1,2,-3,1;
-2,-1,5,-4,1;
3,-1,-6,9,-5,1;
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CROSSREFS
| Sequence in context: A177219 A140191 A048207 * A063726 A181118 A179009
Adjacent sequences: A105807 A105808 A105809 * A105811 A105812 A105813
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 04 2005
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