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A147746
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Riordan array (1, x(1-2x)/(1-3x+x^2)).
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5
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1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 5, 5, 3, 1, 0, 13, 14, 9, 4, 1, 0, 34, 40, 28, 14, 5, 1, 0, 89, 114, 87, 48, 20, 6, 1, 0, 233, 323, 267, 161, 75, 27, 7, 1, 0, 610, 910, 809, 528, 270, 110, 35, 8, 1
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OFFSET
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0,8
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COMMENTS
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Triangle [0,1,1,1,0,0,0,....] DELTA [1,0,0,0,...] with Deléham DELTA as in A084938.
Note that 1/(1-x/(1-x/(1-x))) = (1-2x)/(1-3x+x^2). Row sums are A124302.
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LINKS
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FORMULA
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G.f.: (1 - 3*x + x^2)/(1 - 3*x + x^2 - x*y + 2*x^2*y). - R. J. Mathar, Aug 11 2015
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EXAMPLE
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Triangle begins
1;
0, 1;
0, 1, 1;
0, 2, 2, 1;
0, 5, 5, 3, 1;
0, 13, 14, 9, 4, 1;
0, 34, 40, 28, 14, 5, 1;
0, 89, 114, 87, 48, 20, 6, 1;
...
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MATHEMATICA
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(* The function RiordanArray is defined in A256893. *)
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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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