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A097761
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Inverse of binomial transform of Whitney triangle.
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1
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1, -2, 1, 4, -4, 1, -10, 13, -6, 1, 28, -42, 26, -8, 1, -84, 138, -102, 43, -10, 1, 264, -462, 385, -198, 64, -12, 1, -858, 1573, -1430, 845, -338, 89, -14, 1, 2860, -5434, 5278, -3458, 1610, -530, 118, -16, 1, -9724, 19006, -19448, 13804, -7208, 2788, -782, 151, -18, 1, 33592
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OFFSET
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0,2
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COMMENTS
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As an element of the Riordan group, this is (1-xC(-x))C(-x), xC(-x)^2), where C(x)=(1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. Inverse of A097750. Row sums have g.f. (1-xC(-x))C(-x)/(1-xC(-x)^2), or 1,-1,1,-2,5,-14,42,...
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LINKS
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EXAMPLE
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Rows begin {1}, {-2,1}, {4,-4,1}, {-10,13,-6,1},...
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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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