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A052532
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Expansion of (1-x)/(1-x-x^3-x^4+x^5).
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1
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1, 0, 0, 1, 2, 1, 2, 5, 7, 8, 14, 24, 34, 49, 79, 123, 182, 276, 429, 655, 990, 1513, 2321, 3537, 5385, 8229, 12574, 19175, 29252, 44670, 68190, 104043, 158790, 242398, 369961, 564604, 861749, 1315318, 2007485, 3063877, 4676340, 7137394, 10893438
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 462
Index to sequences with linear recurrences with constant coefficients, signature (1,0,1,1,-1).
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FORMULA
| G.f.: -(-1+x)/(1-x-x^4+x^5-x^3)
Recurrence: {a(1)=0, a(0)=1, a(2)=0, a(3)=1, a(4)=2, a(n)-a(n+1)-a(n+2)-a(n+4)+a(n+5)=0}
Sum(1/8519*(138+2003*_alpha-346*_alpha^2-444*_alpha^3+11*_alpha^4)*_alpha^(-1-n), _alpha=RootOf(1-_Z-_Z^4+_Z^5-_Z^3))
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MAPLE
| spec := [S, {S=Sequence(Prod(Z, Z, Z, Union(Z, Sequence(Z))))}, unlabeled]: seq(combstruct[count](spec, size=n), n=0..20);
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CROSSREFS
| Sequence in context: A047991 A120898 A153910 * A006704 A006702 A129394
Adjacent sequences: A052529 A052530 A052531 * A052533 A052534 A052535
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KEYWORD
| easy,nonn
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AUTHOR
| encyclopedia(AT)pommard.inria.fr, Jan 25 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jun 05 2000
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