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A097992
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G.f.: 1/((1-x)*(1-x^6)) = 1/ ( (1+x)*(x^2-x+1)*(1+x+x^2)*(x-1)^2 ).
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5
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1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15
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OFFSET
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0,7
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LINKS
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FORMULA
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Molien series is 1/((1-x^2)*(1-x^12)).
a(n)=1+floor(n/6)
a(n)=1+(6*n-15+3*(-1)^n+12*sin[(2*n+1)*Pi/6]+4*sqrt(3)*sin[(2*n+1)*Pi/3])/36
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MATHEMATICA
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CoefficientList[Series[1/((1-x)(1-x^6)), {x, 0, 90}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 1, 2}, 90] (* Harvey P. Dale, Oct 29 2023 *)
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CROSSREFS
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Apart from initial terms, same as A054895.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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