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A058278
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Expansion of (1 - x^2)/(1 - x - x^3).
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5
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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; refs; listen; history; internal format)
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OFFSET
| 1,5
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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
a(n) = a(n-3) + a(n-1)
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MATHEMATICA
| CoefficientList[Series[(1 - x^2)/(1 - x - x^3), {x, 0, 50}], x] (*and/or*) a=-1; b=1; c=1; lst={b, c}; Do[d=a+c; AppendTo[lst, d]; a=b; b=c; c=d, {n, 5!}]; lst (*From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), 28 Dec 2010*)
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CROSSREFS
| Cf. A003410.
Sequence in context: A190660 A180158 A173693 * A097333 A001083 A173696
Adjacent sequences: A058275 A058276 A058277 * A058279 A058280 A058281
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 06 2000
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EXTENSIONS
| Additional formula added by Graeme McRae (g_m(AT)mcraefamily.com), Apr 26 2010
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