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A143351
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Expansion of x/(1 -x^2 -x^4 -x^7 -x^8 -x^9 -x^10).
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5
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1, 0, 1, 0, 2, 0, 3, 1, 6, 3, 11, 7, 20, 15, 37, 32, 70, 68, 134, 141, 257, 288, 495, 583, 959, 1175, 1867, 2358, 3646, 4714, 7136, 9397, 13994, 18695, 27489, 37138, 54068, 73687, 106450, 146066, 209740, 289328, 413506, 572784, 815628, 1133455, 1609405
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OFFSET
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1,5
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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, pages 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 (0,1,0,1,0,0,1,1,1,1).
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FORMULA
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a(n) = a(n-2) +a(n-4) +a(n-7) +a(n-8) +a(n-9) +a(n-10).
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MATHEMATICA
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Rest@CoefficientList[Series[x/(1-x^2-x^4-x^7-x^8-x^9-x^10), {x, 0, 60}], x] (* or *) LinearRecurrence[{0, 1, 0, 1, 0, 0, 1, 1, 1, 1}, {1, 0, 1, 0, 2, 0, 3, 1, 6, 3}, 60] (* Harvey P. Dale, Mar 05 2016 *)
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PROG
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(Sage)
def A143351_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( x/(1-x^2-x^4-x^7-x^8-x^9-x^10) ).list()
a=A143351_list(61); a[1:] # G. C. Greubel, Feb 08 2021
(Magma)
R<x>:=PowerSeriesRing(Rationals(), 60);
Coefficients(R!( x/(1-x^2-x^4-x^7-x^8-x^9-x^10) )); // G. C. Greubel, Feb 08 2021
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CROSSREFS
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Cf. A122762, A143372, A143373, A143375.
Sequence in context: A006209 A005307 A340385 * A241644 A241640 A158449
Adjacent sequences: A143348 A143349 A143350 * A143352 A143353 A143354
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KEYWORD
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nonn
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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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More terms from Harvey P. Dale, Mar 05 2016
Edited by G. C. Greubel, Feb 08 2021
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STATUS
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approved
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