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A338337
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Coefficient of x^(6*n)*y^(6*n)*z^(6*n) in the expansion of 1/(1-x-y^2-z^3).
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2
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1, 4620, 135795660, 5190977391600, 221838126928317900, 10086906430733029017120, 477156732636269771364879600, 23199870600247661786357661924000, 1150983828787218131441395889200471500, 57991163446756752913635026142306805792320, 2957727121295876265116937111814024549631408160
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OFFSET
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0,2
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COMMENTS
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The other diagonal coefficients are zero.
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LINKS
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FORMULA
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MAPLE
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a:= proc(n) local h; 1/(1-x-y^2-z^3); for h in [x, y, z]
do coeff(series(%, h, 1+6*n), h, 6*n) od
end:
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MATHEMATICA
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nmax = 10; Flatten[{1, Table[Coefficient[Series[1/(1 - x - y^2 - z^3), {x, 0, 6*n}, {y, 0, 6*n}, {z, 0, 6*n}], x^(6*n)*y^(6*n)*z^(6*n)], {n, 1, nmax}]}] (* Vaclav Kotesovec, Oct 23 2020 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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