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A058278 Expansion of (1 - x^2)/(1 - x - x^3). +0
5
1, 1, 0, 1, 2, 2, 3, 5, 7, 10, 15, 22, 32, 47, 69, 101, 148, 217, 318, 466, 683, 1001, 1467, 2150, 3151, 4618, 6768, 9919, 14537, 21305, 31224, 45761, 67066, 98290, 144051, 211117, 309407, 453458, 664575, 973982, 1427440, 2092015, 3065997, 4493437 (list; graph; listen)
OFFSET

1,5

FORMULA

G.f.: (1 - x^2)/(1 - x - x^3)

a(n+4)=sum{k=0..floor(n/2), binomial(n-k, floor(k/2))} - Paul Barry (pbarry(AT)wit.ie), Jul 06 2004

MATHEMATICA

CoefficientList[Series[(1 - x^2)/(1 - x - x^3), {x, 0, 50}], x]

CROSSREFS

Cf. A003410.

Sequence in context: A125505 A061565 A077075 this_sequence A097333 A001083 A120412

Adjacent sequences: A058275 A058276 A058277 this_sequence A058279 A058280 A058281

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 06 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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