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A117379 Expansion of (1-4x)/(1-x^2+x^3). 1
1, -4, 1, -5, 5, -6, 10, -11, 16, -21, 27, -37, 48, -64, 85, -112, 149, -197, 261, -346, 458, -607, 804, -1065, 1411, -1869, 2476, -3280, 4345, -5756, 7625, -10101, 13381, -17726, 23482, -31107, 41208 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Diagonal sums of number triangle A117377.
LINKS
FORMULA
a(n)=sum{k=0..floor(n/2), (-1)^n*(C(k,n-2k)+4*C(k, n-2k-1))}
MATHEMATICA
CoefficientList[Series[(1-4x)/(1-x^2+x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[ {0, 1, -1}, {1, -4, 1}, 40] (* Harvey P. Dale, Nov 08 2022 *)
CROSSREFS
Sequence in context: A099310 A021880 A075013 * A007309 A352186 A333341
KEYWORD
easy,sign
AUTHOR
Paul Barry, Mar 10 2006
STATUS
approved

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Last modified March 29 06:34 EDT 2024. Contains 371265 sequences. (Running on oeis4.)