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A111666
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Expansion of (-2+3*x+3*x^2+4*x^3+3*x^4-5*x^5)/((x-1)*(x+1)*(1+x^2)*(x^2-3*x+1)).
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4
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2, 3, 4, 5, 10, 27, 68, 173, 450, 1179, 3084, 8069, 21122, 55299, 144772, 379013, 992266, 2597787, 6801092, 17805485, 46615362, 122040603, 319506444, 836478725, 2189929730, 5733310467, 15010001668, 39296694533, 102880081930
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OFFSET
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0,1
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COMMENTS
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Floretion Algebra Multiplication Program, FAMP Code: vessumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: Y[15],inty[ * ]
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LINKS
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FORMULA
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a(0)=2, a(1)=3, a(2)=4, a(3)=5, a(4)=10, a(5)=27, a(n)=3*a(n-1)-a(n-2)+ a(n-4)- 3*a(n-5)+a(n-6). - Harvey P. Dale, Jan 24 2015
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MATHEMATICA
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CoefficientList[Series[(-2+3x+3x^2+4x^3+3x^4-5x^5)/((x-1)(x+1)(1+x^2)(x^2-3x+1)), {x, 0, 30}], x] (* or *) LinearRecurrence[{3, -1, 0, 1, -3, 1}, {2, 3, 4, 5, 10, 27}, 30] (* Harvey P. Dale, Jan 24 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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