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A261400 Number of n X n knot mosaics. 2

%I #24 Aug 25 2015 17:26:55

%S 1,2,22,2594,4183954,101393411126,38572794946976686,

%T 234855052870954505606714,23054099362200397056093750003442,

%U 36564627559441095000442883434988307728126,9372731425713263465533345673172748337294627134130381

%N Number of n X n knot mosaics.

%H Hiroaki Yamanouchi, <a href="/A261400/b261400.txt">Table of n, a(n) for n = 1..14</a>

%H K. Hong, H. Lee, H. J. Lee and S. Oh, <a href="http://arxiv.org/abs/1312.4009">Small knot mosaics and partition matrices</a>, J. Phys. A: Math. Theor. 47 (2014) 435201; arXiv:1312.4009 [math.GT].

%H K. Hong, H. J. Lee, H. Lee and S. Oh, <a href="http://arxiv.org/abs/1303.7044">Upper bound on the total number of knot n-mosaics</a>, J. Knot Theory Ramifications, Volume 23, Issue 13, November 2014; arXiv:1303.7044 [math.GT].

%H Hwa Jeong Lee, Kyungpyo Hong, Ho Lee, and Seungsang Oh, <a href="http://arxiv.org/abs/1301.6041">Mosaic number of knots</a>, arXiv: 1301.6041 [math.GT], 2014.

%H Samuel J. Lomonaco and Louis H. Kauffman, <a href="http://www.csee.umbc.edu/~lomonaco/pubs/psapm561.pdf">Quantum Knots and Mosaics</a>, Proc. Sympos. Applied Math., Amer. Math. Soc., Vol. 68 (2010), pp. 177-208.

%H Samuel J. Lomonaco and Louis H. Kauffman, <a href="/A261400/a261400.pdf">Illustration for a(3) = 33</a>, from "Quantum Knots and Mosaics", 2010, with permission.

%H <a href="/index/K#knots">Index entries for sequences related to knots</a>

%Y Reminiscent of (but of course different from) A200000.

%Y The term 22 is the same 22 that appears in A261399.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Aug 18 2015

%E a(7)-a(11) from _Hiroaki Yamanouchi_, Aug 19 2015

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)