cp's OEIS Frontend

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.

A320392 Number of permutations of 3 indistinguishable copies of 1,...,n such that there are exactly j numbers between the first and the third copy of j and floor(j/2) numbers between the first and the second or between the second and the third copy of j.

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%I A320392 #22 Feb 16 2025 08:33:56
%S A320392 1,1,0,0,4,4,10,24,252,410,1998,7798,65188,280582,2281108,10585748,
%T A320392 110903088
%N A320392 Number of permutations of 3 indistinguishable copies of 1,...,n such that there are exactly j numbers between the first and the third copy of j and floor(j/2) numbers between the first and the second or between the second and the third copy of j.
%C A320392 a(n) is even for n > 1.
%H A320392 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LangfordsProblem.html">Langford's Problem</a>
%H A320392 Wikipedia, <a href="https://en.wikipedia.org/wiki/Dancing_Links">Dancing Links</a>
%H A320392 Wikipedia, <a href="https://en.wikipedia.org/wiki/Langford_pairing">Langford pairing</a>
%e A320392 a(1) = 1: 111.
%e A320392 a(4) = 4: 111224234343, 111343432422, 224234343111, 343432422111.
%Y A320392 Cf. A285527, A322153.
%K A320392 nonn,more
%O A320392 0,5
%A A320392 _Alois P. Heinz_, Dec 06 2018