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A119306
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Expansion of (1-4x)/(1-x(1-x)^3).
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1
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1, -3, -6, 6, 14, -19, -37, 56, 96, -164, -247, 477, 630, -1378, -1590, 3957, 3963, -11300, -9728, 32104, 23425, -90771, -55006, 255478, 124758, -715923, -268757, 1997808, 531552, -5552220, -884695, 15368813, 834686, -42373618, 2113458, 116369557, -17926357
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OFFSET
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0,2
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COMMENTS
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Row sums of number triangle A119305.
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LINKS
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Table of n, a(n) for n=0..36.
Index to sequences with linear recurrences with constant coefficients, signature (1,-3,3,-1).
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FORMULA
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G.f.: (1-4x)/(1-x+3x^2-3x^3+x^4); a(n)=a(n-1)-3a(n-2)+3a(n-3)-a(n-4); a(n)=sum{k=0..n, (C(3k,n-k)+4*C(3k,n-k-1))(-1)^(n-k)}.
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CROSSREFS
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Sequence in context: A208445 A208796 A202931 * A107972 A036252 A103463
Adjacent sequences: A119303 A119304 A119305 * A119307 A119308 A119309
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry, May 13 2006
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STATUS
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approved
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