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A299444
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Triangle read by rows, T(n, k) = 2^k*binomial(n, k)*hypergeom([-k, k - n, k - n], [1, -n], 1/2) for n >= 0 and 0 <= k <= n.
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1
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1, 1, 2, 1, 5, 4, 1, 10, 16, 8, 1, 17, 49, 44, 16, 1, 26, 121, 182, 112, 32, 1, 37, 256, 593, 584, 272, 64, 1, 50, 484, 1616, 2368, 1712, 640, 128, 1, 65, 841, 3848, 7921, 8312, 4720, 1472, 256, 1, 82, 1369, 8254, 22841, 33002, 26704, 12448, 3328, 512
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OFFSET
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0,3
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LINKS
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EXAMPLE
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Triangle starts:
[0] 1
[1] 1, 2
[2] 1, 5, 4
[3] 1, 10, 16, 8
[4] 1, 17, 49, 44, 16
[5] 1, 26, 121, 182, 112, 32
[6] 1, 37, 256, 593, 584, 272, 64
[7] 1, 50, 484, 1616, 2368, 1712, 640, 128
[8] 1, 65, 841, 3848, 7921, 8312, 4720, 1472, 256
[9] 1, 82, 1369, 8254, 22841, 33002, 26704, 12448, 3328, 512
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MAPLE
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T := (n, k) -> 2^k*binomial(n, k)*hypergeom([-k, k - n, k - n], [1, -n], 1/2):
seq(seq(simplify(T(n, k)), k=0..n), n=0..9);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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