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A161495
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Expansion of x*(3*x-1)*(x-3)/(1-15*x+32*x^2-15*x^3+x^4).
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1
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3, 35, 432, 5405, 67773, 850080, 10663107, 133755235, 1677792528, 21045816925, 263993558397, 3311470367040, 41538271098243, 521045872287395, 6535871471114352, 81984366749625245, 1028391763981932093
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OFFSET
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1,1
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COMMENTS
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Proposed by R. Guy in the seqfan list, Mar 29 2009.
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LINKS
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FORMULA
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G.f. x*(3*x-1)*(x-3)/(1-15*x+32*x^2-15*x^3+x^4).
a(n) = 15*a(n-1)-32*a(n-2)+15*a(n-3)-a(n-4).
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MATHEMATICA
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Rest[CoefficientList[Series[x(3x-1)(x-3)/(1-15x+32x^2-15x^3+x^4), {x, 0, 30}], x]] (* or *) LinearRecurrence[{15, -32, 15, -1}, {3, 35, 432, 5405}, 30] (* Harvey P. Dale, Nov 03 2011 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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