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A174016
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Row sums of number triangle A174014.
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2
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1, 2, 6, 16, 40, 92, 192, 352, 528, 512, -192, -2128, -3840, 5888, 69056, 299264, 917760, 2125184, 3258368, -117760, -23297536, -103321600, -295843840, -577744128, -416948224, 2490589184, 14821469184, 50063536128
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OFFSET
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0,2
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COMMENTS
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Hankel transform is 1, 2, -8, -32, -256, 4096, ... (signed version of A134751).
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LINKS
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FORMULA
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G.f.: (sqrt(1-4x+4x^2+8x^3)+4x-1)/(2x(1-2x));
g.f.: 1/(1-2x/(1-x/(1+x/(1-2x/(1-x/(1+x/(1-2x/(1-... (continued fraction).
Conjecture: (n+1)*a(n) - 6*n*a(n-1) + 12*(n-1)*a(n-2) - 12*a(n-3) + 8*(7-2*n)*a(n-4) = 0. - R. J. Mathar, Nov 13 2012
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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