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A063208
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Dimension of the space of weight 2n cuspidal newforms for Gamma_0( 36 ).
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0
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1, 1, 2, 3, 4, 4, 6, 6, 7, 8, 9, 9, 11, 11, 12, 13, 14, 14, 16, 16, 17, 18, 19, 19, 21, 21, 22, 23, 24, 24, 26, 26, 27, 28, 29, 29, 31, 31, 32, 33, 34, 34, 36, 36, 37, 38, 39, 39, 41, 41, 42, 43, 44, 44, 46, 46, 47, 48, 49, 49, 51, 51, 52, 53, 54, 54, 56, 56, 57, 58, 59, 59, 61
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OFFSET
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1,3
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LINKS
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FORMULA
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G.f.: x(1-x^5)/((1-x)(1-x^2)(1-x^3)), if n>0. a(n)=-a(1-n). a(n+6)=a(n)+5.
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MATHEMATICA
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Rest@ CoefficientList[Series[x (1 - x^5)/((1 - x) (1 - x^2) (1 - x^3)), {x, 0, 73}], x] (* Michael De Vlieger, Apr 13 2016 *)
LinearRecurrence[{0, 1, 1, 0, -1}, {1, 1, 2, 3, 4}, 80] (* Harvey P. Dale, Jun 18 2018 *)
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PROG
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(PARI) a(n)=5*(n-1)\6+(n%6!=0)
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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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