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A051530
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Molien series for group H_{1,3} of order 1152.
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0
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1, 0, 1, 3, 4, 5, 15, 14, 24, 35, 44, 54, 81, 88, 115, 143, 168, 195, 247, 270, 322, 375, 424, 476, 561, 608, 693, 779, 860, 945, 1071, 1150, 1276, 1403, 1524, 1650, 1825, 1944, 2119, 2295, 2464, 2639, 2871, 3038, 3270, 3503, 3728, 3960, 4257, 4480
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OFFSET
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0,4
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, -1, -1, 2, -1, -1, 0, 1, 1, -1).
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FORMULA
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G.f.: (x^9+x^8-x^7+5*x^6-x^5+x^4+2*x^3-x+1)/((x-1)^4*(x+1)^2*(x^2+x+1)^2*(x^2-x+1)).
a(0)=1, a(1)=0, a(2)=1, a(3)=3, a(4)=4, a(5)=5, a(6)=15, a(7)=14, a(8)=24, a(9)=35, a(10)=44, a(11)=54, a(n)=a(n-1)+a(n-2)-a(n-4)-a(n-5)+ 2*a(n-6)-a(n-7)-a(n-8)+a(n-10)+a(n-11)-a(n-12). - Harvey P. Dale, Jun 15 2013
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MATHEMATICA
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CoefficientList[Series[(x^9+x^8-x^7+5x^6-x^5+x^4+2x^3-x+1)/((x-1)^4 (x+1)^2(x^2+x+1)^2(x^2-x+1)), {x, 0, 50}], x] (* or *) LinearRecurrence[ {1, 1, 0, -1, -1, 2, -1, -1, 0, 1, 1, -1}, {1, 0, 1, 3, 4, 5, 15, 14, 24, 35, 44, 54}, 50] (* Harvey P. Dale, Jun 15 2013 *)
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CROSSREFS
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KEYWORD
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nonn,easy,nice
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AUTHOR
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jun 15 2001
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STATUS
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approved
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