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A184286
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Number of distinct n X 3 toroidal 0..4 arrays.
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2
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45, 2635, 217125, 20346485, 2034505661, 211927741375, 22706531350485, 2483526875847735, 275947429516276125, 31044085821533856483, 3527737025058633700325, 404219867454740790585125, 46640753937073243032602205, 5413658939124584198288696455
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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T[n_, k_] := (1/(n*k))*Sum[Sum[EulerPhi[c]*EulerPhi[d]*5^(n*k/LCM[c, d]), {d, Divisors[k]}], {c, Divisors[n]}]; a[n_] := T[n, 3]; Array[a, 14] (* Jean-François Alcover, Nov 01 2017, after Andrew Howroyd *)
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PROG
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(PARI) a(n) = my(k=3); (1/(n*k)) * sumdiv(n, c, sumdiv(k, d, eulerphi(c) * eulerphi(d) * 5^(n*k/lcm(c, d)))); \\ Michel Marcus, Nov 01 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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EXTENSIONS
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STATUS
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approved
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