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A119306 Expansion of (1-4x)/(1-x(1-x)^3). 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums of number triangle A119305.

LINKS

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (1,-3,3,-1).

FORMULA

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)}.

CROSSREFS

Sequence in context: A202931 A240250 A239424 * A107972 A238775 A036252

Adjacent sequences:  A119303 A119304 A119305 * A119307 A119308 A119309

KEYWORD

easy,sign

AUTHOR

Paul Barry, May 13 2006

STATUS

approved

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Last modified August 28 03:16 EDT 2015. Contains 261112 sequences.