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A120771
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Expansion of ( 1-x^3+x^4+x^5-x^8 ) / ( 1-2*x^3-x^6+x^9 ).
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0
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1, 0, 0, 1, 1, 1, 3, 2, 1, 6, 5, 3, 14, 11, 6, 31, 25, 14, 70, 56, 31, 157, 126, 70, 353, 283, 157, 793, 636, 353, 1782, 1429, 793, 4004, 3211, 1782, 8997, 7215, 4004, 20216, 16212, 8997, 45425, 36428, 20216, 102069, 81853, 45425, 229347, 183922, 102069, 515338, 413269, 229347, 1157954, 928607, 515338
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OFFSET
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0,7
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LINKS
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Table of n, a(n) for n=0..56.
Index entries for linear recurrences with constant coefficients, signature (0,0,2,0,0,1,0,0,-1).
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FORMULA
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Three consecutive coefficients are generated from the left row of the n-th power of the matrix [1,1,1; 1,1,0; 1,0,0].
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MATHEMATICA
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CoefficientList[Series[(1-x^3+x^4+x^5-x^8)/(1-2*x^3-x^6+x^9), {x, 0, 60}], x] (* or *) LinearRecurrence[{0, 0, 2, 0, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 1, 1, 3, 2, 1}, 60] (* Harvey P. Dale, Feb 19 2016 *)
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CROSSREFS
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Cf. A077998 (trisection), A006054 (trisection), A006356 (trisection), A038196.
Sequence in context: A208152 A194761 A129674 * A115094 A165958 A113655
Adjacent sequences: A120768 A120769 A120770 * A120772 A120773 A120774
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KEYWORD
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nonn,easy
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AUTHOR
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Gary W. Adamson, Jul 03 2006
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STATUS
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approved
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