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A354270 Numbers k such that min{m: A354257(m) = k} = k^2. 2

%I #14 May 22 2022 01:52:20

%S 1,3,4,5,6,7,11,12,13,15,17,19,20,21,23,28,29,30,31,33,35,37,39,41,42,

%T 43,44,47,51,52,53,55,57,59,60,61,65,66,67,68,69,71,73,76,77,78,79,83,

%U 84,85,87,89,91,92,93,95,97,101,102,103,105,107,109,111,113

%N Numbers k such that min{m: A354257(m) = k} = k^2.

%C Numbers m such that A354258(k) = k^2.

%C Consists of the union of {squarefree numbers that are odd or congruent to 6 modulo 12} U {4 times odd squarefree numbers}.

%C The maximum run length of consecutive numbers is 5, and they are of the form 24*m+3..24*m+7 or 24*m+17..24*m+21.

%H Jianing Song, <a href="/A354270/b354270.txt">Table of n, a(n) for n = 1..10000</a>

%e 3..7 are terms since the first 3, 4, 5, 6 or 7 in A354257 occur at the 9th, the 16th, the 25th, the 36th or the 49th places respectively.

%e 65..69 are terms since the first 65, 66, 67, 68 or 69 in A354257 occur at the 4225th, the 4356th, the 4489th, the 4624th or the 4761st places respectively.

%o (PARI) isA354270(n) = ((n%2 || n%12==6) && issquarefree(n)) || (n%8==4 && issquarefree(n/4))

%Y Cf. A354257, A354258.

%K nonn,easy

%O 1,2

%A _Jianing Song_, May 21 2022

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Last modified August 1 03:10 EDT 2024. Contains 374810 sequences. (Running on oeis4.)