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A124568
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Triangle, read by rows, where row n equals the inverse binomial transform of the column n in rectangular table A124550 (starting with row 1).
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1
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1, 1, 1, 2, 5, 3, 5, 25, 36, 16, 16, 143, 364, 362, 125, 66, 990, 3909, 6417, 4728, 1296, 348, 8464, 48518, 116274, 135932, 76867, 16807, 2321, 89741, 720078, 2370938, 3923330, 3441366, 1518460, 262144, 19437, 1180978, 12965026, 56627440
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history;
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..39.
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FORMULA
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T(n,n) = (n+1)^(n-1) = A000272(n+1). T(n,0) = A124551(n).
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EXAMPLE
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Triangle begins:
1;
1, 1;
2, 5, 3;
5, 25, 36, 16;
16, 143, 364, 362, 125;
66, 990, 3909, 6417, 4728, 1296;
348, 8464, 48518, 116274, 135932, 76867, 16807;
2321, 89741, 720078, 2370938, 3923330, 3441366, 1518460, 262144; ...
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CROSSREFS
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Cf. A124550, A124551, A000272.
Sequence in context: A248852 A299210 A104978 * A091807 A085825 A198140
Adjacent sequences: A124565 A124566 A124567 * A124569 A124570 A124571
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna, Nov 08 2006
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STATUS
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approved
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