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A111527
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Inverse of A111526. Row sums have general term C(n,floor(n/2))*(cos(pi*n/2)+sin(pi*n/2)).
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1
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1, 0, 1, -3, 0, 1, 0, -4, 0, 1, 10, 0, -5, 0, 1, 0, 15, 0, -6, 0, 1, -35, 0, 21, 0, -7, 0, 1, 0, -56, 0, 28, 0, -8, 0, 1, 126, 0, -84, 0, 36, 0, -9, 0, 1, 0, 210, 0, -120, 0, 45, 0, -10, 0, 1, -462, 0, 330, 0, -165, 0, 55, 0, -11, 0, 1, 0, -792, 0, 495, 0, -220, 0, 66, 0, -12, 0, 1, 1716, 0, -1287, 0, 715, 0, -286, 0, 78, 0, -13, 0, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Inverse of a scaled Chebyshev triangle.
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FORMULA
| Riordan array (c^2(-x^2)(1+x^2c(-x^2))/sqrt(1+4x^2), x*c(-x^2)), c(x) the g.f. of A000108.
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EXAMPLE
| Triangle begins
1;
0,1;
-3,0,1;
0,-4,0,1;
10,0,-5,0,1;
0,15,0,-6,0,1;
-35,0,21,0,-7,0,1;
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CROSSREFS
| Sequence in context: A117179 A111526 A117178 * A035695 A100257 A100573
Adjacent sequences: A111524 A111525 A111526 * A111528 A111529 A111530
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Aug 05 2005
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