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 A229298 Number of terms in A228919 less than or equal to 10^n. 2
 5, 54, 515, 5109, 50933, 508932, 5087994 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 0.50801 < lim A229298(n)/10^n = lim A229299(n)/10^n < 0.50966. Compare with A229299(n)/10^n. LINKS J. M. Grau, A. M. Oller-Marcén, About the congruence sum_{k=1..n} k^{f(n)} == 0 (mod n), arXiv:1304.2678 [math.NT], 2013. MATHEMATICA fa=FactorInteger; Carlitz[k_, n_] := Mod[n-Sum[If[IntegerQ[k/(fa[n][[i, 1]]-1)], n/fa[n][[i, 1]], 0], {i, 1, Length[fa[n]]}], n]; supercar[k_, n_] := If[k == 1 || Mod[k, 2] == 0 || Mod[n, 4] > 0, Carlitz[k, n], Mod[Carlitz[k, n] - n/2, n]]; Table[Print[Length@Select[Range[10^n], supercar[#+1, #] == 0 &]], {n, 1, 7}] CROSSREFS Cf. A191677, A228919, A229299. Sequence in context: A275353 A221544 A268882 * A087125 A110430 A110432 Adjacent sequences:  A229295 A229296 A229297 * A229299 A229300 A229301 KEYWORD nonn,more,hard AUTHOR José María Grau Ribas, Sep 20 2013 STATUS approved

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Last modified January 18 00:50 EST 2022. Contains 350410 sequences. (Running on oeis4.)