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A052976 Expansion of (1-2x)/(1-3x-x^3+2x^4). 0
1, 1, 3, 10, 29, 88, 268, 813, 2469, 7499, 22774, 69165, 210056, 637944, 1937449, 5884073, 17870051, 54271714, 164824317, 500574856, 1520256180, 4617049429, 14022074509, 42585329995, 129332527054, 392785556813, 1192897851416 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: -(-1+2*x)/(1-3*x-x^3+2*x^4)
Recurrence: {a(1)=1, a(0)=1, a(2)=3, a(3)=10, 2*a(n)-a(n+1)-3*a(n+3)+a(n+4)=0}
Sum(-1/9247*(-382-2063*_alpha+26*_alpha^2+552*_alpha^3)*_alpha^(-1-n), _alpha=RootOf(1-3*_Z-_Z^3+2*_Z^4))
MAPLE
spec := [S, {S=Sequence(Prod(Union(Sequence(Union(Z, Z)), Prod(Z, Z)), Z))}, unlabeled ]: seq(combstruct[count ](spec, size=n), n=0..20);
MATHEMATICA
CoefficientList[Series[(1-2x)/(1-3x-x^3+2x^4), {x, 0, 40}], x] (* or *) LinearRecurrence[{3, 0, 1, -2}, {1, 1, 3, 10}, 40] (* Harvey P. Dale, Nov 02 2013 *)
CROSSREFS
Sequence in context: A291393 A244615 A307062 * A361365 A147363 A147226
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
EXTENSIONS
More terms from James A. Sellers, Jun 06 2000
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)