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A261987 Triangle read by rows: row n lists the set of n coprime composite numbers that minimizes the difference between first and last terms, and then minimizes the average of the terms. 4

%I #72 Nov 28 2015 13:43:40

%S 4,8,9,25,26,27,91,92,93,95,115,116,117,119,121,527,529,531,532,533,

%T 535,527,529,531,533,535,536,539,1331,1333,1334,1337,1339,1341,1343,

%U 1345,1331,1333,1334,1337,1339,1341,1343,1345,1349

%N Triangle read by rows: row n lists the set of n coprime composite numbers that minimizes the difference between first and last terms, and then minimizes the average of the terms.

%C The minimal set of the (k+n)th row is determined by the minimal k-tuple coprime to the n-th primorial, where every prime <= to the n-th prime must be a factor of some number in the set. E.g., the sixth row must consist of numbers congruent to 5, 7, 11 and 13 mod 6, as well as one term with a factor of 2 and another with a factor of 3.

%C In cases where multiple k-tuples satisfy the definition, the lexicographically earliest solution is chosen.

%H Max Barrentine, <a href="/A261987/b261987.txt">Table of n, a(n) for n = 1..189</a>

%e 4;

%e 8, 9;

%e 25, 26, 27;

%e 91, 92, 93, 95;

%e 115, 116, 117, 119, 121;

%e 527, 529, 531, 532, 533, 535;

%e ...

%Y Subsequence of A002808.

%Y First column is A262042.

%Y Cf. A264482.

%K tabl,nonn

%O 1,1

%A _Max Barrentine_, Oct 02 2015, Nov 03 2015, Nov 05 2015

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Last modified July 24 08:28 EDT 2024. Contains 374575 sequences. (Running on oeis4.)