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A280096
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Engel expansion of 1/phi to the base Pi
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1
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6, 18, 95, 340, 9492, 133706, 1693729, 104107693, 692068995, 3295399249, 61983607042, 294907287147, 3866887203952, 1457331336561977, 13487103824303426, 2733476358186221751, 10531585738509590966, 622459086032261357787, 13355793438644297530372, 210369234254618733763935
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OFFSET
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0,1
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LINKS
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EXAMPLE
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1/phi = Pi/6 + Pi^2/(6*18) + Pi^3/(6*18*95) + ...
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MATHEMATICA
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EngelExp[A_, n_] := Join[Array[Pi &, Floor[A]], First@Transpose@
NestList[{Ceiling[Pi/Expand[#[[1]] #[[2]] - 1]], Expand[#[[1]] #[[2]] - 1]/Pi} &, {Ceiling[Pi/(A - Floor[A])], (A - Floor[A])/Pi}, n - 1]]; EngelExp[N[2/(1 + Sqrt[5]), 7!], 20]
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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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