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A305348 a(n) is the smallest number k such that k * A002202(n) is not a term of A000010. 0

%I #32 Jun 14 2018 10:15:56

%S 3,7,17,15,19,5,43,19,5,17,7,167,11,3,19,67,17,17,7,5,211,7,11,13,3,

%T 139,31,9,5,109,3,85,3,61,11,7,211,11,5,7,3,31,5,31,13,353,9,31,3,71,

%U 5,3,19,317,5,3,31,167,7,7,5,71,3,59,3,53,17,5,211,11,3,17,43,19,9

%N a(n) is the smallest number k such that k * A002202(n) is not a term of A000010.

%C a(n) is an odd number >= 3.

%C a(1) * A002202(1) = 3 is the only value not a term of the sequence A005277.

%C Terms of this sequence map terms of A002202 to terms of A005277 and the image of these mappings is a subset of A005277. For example, between A005277(1) = 14 and A005277(5) = 50, there is no mapping.

%e 3 is a term because 3 * A002202(1) = 3 and 3 is not a term of A000010.

%e 7 is a term because 7 * A002202(2) = 14 and 14 is not a term of A000010.

%o (PARI) f(n) = my(k=1); while(istotient(k*n), k++); k;

%o lista(nn) = {for (n=1, nn, if (istotient(n), print1(f(n), ", ")););} \\ _Michel Marcus_, Jun 01 2018

%Y Cf. A000010, A002202, A005277.

%K nonn

%O 1,1

%A _Torlach Rush_, May 30 2018

%E More terms from _Michel Marcus_, Jun 01 2018

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