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A238187
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Gaussian norm of 1+(1+i)^n.
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1
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4, 5, 5, 5, 9, 25, 65, 145, 289, 545, 1025, 1985, 3969, 8065, 16385, 33025, 66049, 131585, 262145, 523265, 1046529, 2095105, 4194305, 8392705, 16785409, 33562625, 67108865, 134201345, 268402689, 536838145, 1073741825, 2147549185, 4295098369, 8590065665
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: -(10*x^3-20*x^2+15*x-4)/((x-1)*(2*x-1)*(2*x^2-2*x+1)). [Joerg Arndt, Feb 20 2014]
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MAPLE
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seq(GInorm(1+(1+I)**n), n=0..33);
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MATHEMATICA
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Table[Norm[{1 + (1 + I)^n}]^2, {n, 0, 40}] (* Bruno Berselli, Feb 20 2014 *)
CoefficientList[Series[-(10 x^3 - 20 x^2 + 15 x - 4)/((x - 1) (2 x - 1) (2 x^2 - 2 x + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Feb 21 2014 *)
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PROG
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(Magma) [Floor(2^n+(1+Sqrt(-1))^n+(1-Sqrt(-1))^n+1): n in [0..40]]; // Vincenzo Librandi, Feb 21 2014
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CROSSREFS
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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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