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A167411 a(n) = the minimal K value for the orderly number A167408(n). 4

%I

%S 2,3,3,5,5,7,3,7,11,3,17,7,3,5,3,29,5,5,3,41,3,7,3,5,5,3,59,5,7,3,13,

%T 71,7,7,3,5,3,5,3,101,3,107,3,7,5,7,5,3,5,3,137,3,149,5,5,11,7,7,3,3,

%U 5,5,3,179,7,3,191,3,197,5,11,5,13,3,227,3,7,5,3,239,7,7,5,3,11,3,3,5,3

%N a(n) = the minimal K value for the orderly number A167408(n).

%H A. Weimholt, <a href="/A167411/b167411.txt">Table of n, a(n) for n=1,...,10000</a>

%e a(6) = 7, because A167408(6) = 9, and divisors of 9 = {1,9,3} == {1,2,3} mod 7.

%t orderlyQkValue[n_] := (For[dd = Divisors[n]; tau = Length[dd]; k = 2, k <= Max[tau + 4, Last[dd] - 2], k++, If[Union[Mod[dd, k]] == Range[tau], Return[{True, k}]]]; {False, 0}); A167411List = Select[{#, orderlyQkValue[#]}& /@ Range[400] , #[[2, 1]]&][[All, 2, 2]] (* _Jean-François Alcover_, Nov 03 2016 *)

%Y Cf. A167408 - Orderly Numbers

%Y Cf. A167409 - Very Orderly Numbers ( K = tau(N)+1 )

%Y Cf. A167410 - Disorderly Numbers - numbers not in A167408

%K nonn

%O 1,1

%A _Andrew Weimholt_, Nov 03 2009

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Last modified November 29 09:49 EST 2022. Contains 358423 sequences. (Running on oeis4.)