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A143373
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Expansion of x/(1 - x - 2*x^3 - 2*x^5 - x^7).
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5
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1, 1, 1, 3, 5, 9, 17, 30, 55, 100, 181, 330, 599, 1088, 1978, 3593, 6529, 11864, 21556, 39169, 71171, 129319, 234978, 426961, 775801, 1409655, 2561384, 4654113, 8456664, 15366012, 27920509
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OFFSET
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1,4
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REFERENCES
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Claude Shannon and Warren Weaver, A Mathematical Theory of Communication, University of Illinois Press, Chicago, 1963, pp. 37-38.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,2,0,2,0,1).
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MATHEMATICA
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Rest@CoefficientList[Series[x/(1 -x -2*x^3 -2*x^5 -x^7), {x, 0, 40}], x]
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PROG
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(PARI) my(x='x+O('x^40)); Vec(x/(1-x-2*x^3-2*x^5-x^7)) \\ G. C. Greubel, Sep 27 2017
(Sage)
def A143373_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( x/(1 -x -2*x^3 -2*x^5 -x^7) ).list()
a=A143373_list(40); a[1:] # G. C. Greubel, Feb 08 2021
(Magma)
R<x>:=PowerSeriesRing(Rationals(), 40);
Coefficients(R!( x/(1 -x -2*x^3 -2*x^5 -x^7) )); // G. C. Greubel, Feb 08 2021
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CROSSREFS
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Cf. A122762, A143351, A143372, A143375.
Sequence in context: A288233 A288232 A289261 * A282184 A102475 A066173
Adjacent sequences: A143370 A143371 A143372 * A143374 A143375 A143376
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KEYWORD
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nonn,easy
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AUTHOR
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Roger L. Bagula and Gary W. Adamson, Oct 22 2008
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EXTENSIONS
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Edited by G. C. Greubel, Feb 08 2021
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STATUS
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approved
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