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A063209
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Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 41 ).
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1
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3, 10, 16, 24, 30, 36, 44, 50, 56, 64, 70, 76, 84, 90, 96, 104, 110, 116, 124, 130, 136, 144, 150, 156, 164, 170, 176, 184, 190, 196, 204, 210, 216, 224, 230, 236, 244, 250, 256, 264, 270, 276, 284, 290, 296, 304, 310, 316, 324, 330
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OFFSET
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1,1
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LINKS
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FORMULA
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G.f.: (-1)*x*(x^4 - 5*x^3 - 6*x^2 - 7*x - 3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015
For n > 1, a(n) = (20 n - 8 - 2 (n-1 mod 3))/3. - Robert Israel, Jan 05 2017
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MAPLE
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f:= gfun:-rectoproc({a(n+4)-a(n+3)-a(n+1)+a(n)=0, a(1)=3, a(2)=10, a(3)=16, a(4)=24, a(5)=30}, a(n), remember):
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MATHEMATICA
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Join[{3}, LinearRecurrence[{1, 0, 1, -1}, {10, 16, 24, 30}, 50]] (* G. C. Greubel, Jan 05 2017 *)
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PROG
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(PARI) Vec(((-1)*x*(x^4 - 5*x^3 - 6*x^2 - 7*x - 3))/((x - 1)^2*(x^2 + x + 1)) + O(x^50)) \\ G. C. Greubel, Jan 05 2017
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CROSSREFS
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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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