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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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0
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| A polynomial expansion sequence based on the Weaver telegraphic Polynomial: ( compare A122762): p(x)=-1 - x - x^2 - x^3 - x^6 - x^8 + x^10.
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REFERENCES
| Claude Shannon and Warren Weaver, A Mathematical Theory of Communication, University of Illinois Press, Chicago, 1963, p37 - 38:
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,1,0,1,0,0,1,1,1,1).
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FORMULA
| p(x)=Expand[x^10*Det[{{-1, (1/x^4 + 1/x^2)}, {(1/x^6 + 1/x^5), 1/x^2 + 1/x^4 - 1}}]]; p(x)=-1 - x - x^2 - x^3 - x^6 - x^8 + x^10; a(n)==coefficient_expansion(x^10*p(1/x)).
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MATHEMATICA
| f[x_] = -1 - x - x^2 - x^3 - x^6 - x^8 + x^10; g[x] = ExpandAll[x^10*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 30}], n], {n, 0, 30}]
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CROSSREFS
| Cf. A122762.
Sequence in context: A006209 A130627 A005307 * A158449 A106533 A192421
Adjacent sequences: A143348 A143349 A143350 * A143352 A143353 A143354
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Oct 22 2008
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