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 A174543 Coefficients of minimal polynomials with roots a(n)=(1 + Prime[n]^(1/n))/2: p(x,n)=If[n == 0, 1, MinimalPolynomial[(1 + Prime[n]^(1/n))/2, x]] 0
 1, -3, 2, -1, -2, 2, -3, 3, -6, 4, -3, -4, 12, -16, 8, -6, 5, -20, 40, -40, 16, -3, -3, 15, -40, 60, -48, 16, -9, 7, -42, 140, -280, 336, -224, 64, -9, -8, 56, -224, 560, -896, 896, -512, 128, -12, 9, -72, 336, -1008, 2016, -2688, 2304, -1152, 256, -7, -5, 45, -240 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are: {1, -1, -1, -2, -3, -5, -3, -8, -9, -11, -7} LINKS FORMULA p(x,n)=If[n == 0, 1, MinimalPolynomial[(1 + Prime[n]^(1/n))/2, x]]; t(n,m)=Coefficients(p(x,n)) EXAMPLE {1}, {-3, 2}, {-1, -2, 2}, {-3, 3, -6, 4}, {-3, -4, 12, -16, 8}, {-6, 5, -20, 40, -40, 16}, {-3, -3, 15, -40, 60, -48, 16}, {-9, 7, -42, 140, -280, 336, -224, 64}, {-9, -8, 56, -224, 560, -896, 896, -512, 128}, {-12, 9, -72, 336, -1008, 2016, -2688, 2304, -1152, 256}, {-7, -5, 45, -240, 840, -2016, 3360, -3840, 2880, -1280, 256} MATHEMATICA << NumberTheory`AlgebraicNumberFields` p[x_, n_] := If[n == 0, 1, MinimalPolynomial[(1 + Prime[n]^(1/n))/2, x]]; Table[CoefficientList[p[x, n], x], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A256794 A068929 A060567 * A260450 A036583 A047878 Adjacent sequences:  A174540 A174541 A174542 * A174544 A174545 A174546 KEYWORD sign,tabl,uned AUTHOR Roger L. Bagula, Mar 22 2010 STATUS approved

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Last modified July 30 17:21 EDT 2021. Contains 346359 sequences. (Running on oeis4.)