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A210631
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G.f. for Ehrhart quasi-polynomials for hyperplane arrangements of type F_4.
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1
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 4, 8, 10, 17, 21, 32, 39, 55, 66, 89, 105, 136, 159, 200, 231, 284, 325, 392, 445, 528, 595, 697, 780, 903, 1005, 1152, 1275, 1449, 1596, 1800, 1974, 2211, 2415, 2689, 2926, 3240, 3514, 3872, 4186, 4592, 4950, 5408, 5814, 6328, 6786, 7361, 7875, 8515, 9090, 9800, 10440
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OFFSET
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0,15
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,2,-1,-1,-2,0,2,1,1,-2,-1,1).
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FORMULA
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G.f.: x^12*f(1)*f(2)^2*f(3)*f(4) where f(k)=1/(1-x^k).
G.f.: x^12/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)). - Colin Barker, Jul 22 2013
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MATHEMATICA
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LinearRecurrence[{1, 2, -1, -1, -2, 0, 2, 1, 1, -2, -1, 1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 70] (* Harvey P. Dale, Oct 28 2015 *)
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CROSSREFS
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Similar to A115264 but has different offset.
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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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