This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A083409 #25 Feb 16 2025 08:32:49 %S A083409 1,2,1,2,1,2,3,4,2,2,2,6,2,4,2,4,2,4,2,2,4,2,4,18,2,8,10,2,2,2,4,14, %T A083409 20,2,2,2,6,26,26,8,2,6,18,4,4,4,2,2,22,22,2,2,26,6,6,2,2,4,2,2,6,2,2, %U A083409 2,2,18,2,20,2,2,2,10,2,14,14,40,8,2,14,14,16,4,2,2,60,50,2,2,2,16,2,18,12 %N A083409 Number of prime k-tuplet constellations, i.e., patterns with minimal diameter A008407. %H A083409 T. D. Noe, <a href="/A083409/b083409.txt">Table of n, a(n) for n=2..305</a> (from Engelsma's data) %H A083409 Thomas J Engelsma, <a href="http://www.opertech.com/primes/k-tuples.html">Permissible Patterns</a>. %H A083409 Tony Forbes and Norman Luhn, <a href="https://pzktupel.de/ktpatt_hl.php">Patterns of prime k-tuplets & the Hardy-Littlewood constants</a>. %H A083409 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a>. %e A083409 For a(8) = 3 octuplet patterns see A065706. for a(6) = 1 sextet see A061671. %Y A083409 Cf. A008407, A020497, A023193, A061671, A065688, A065706. %K A083409 nonn %O A083409 2,2 %A A083409 _Frank Ellermann_, Jun 07 2003 %E A083409 More terms from Engelsma's website sent by _T. D. Noe_, Jul 21 2006