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.

A235942 Number of positions (cyclic permutations) of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals counted as distinct.

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%I A235942 #17 Jan 05 2019 01:41:48
%S A235942 0,0,0,0,50,144,1078,7936,66096,611200,6248682,69926976,850848414,
%T A235942 11187719984,158122436400,2390945284096,38518483536706,
%U A235942 658706393035152,11918123304961222,227474585229393600,4567806759318652080
%N A235942 Number of positions (cyclic permutations) of circular permutations with exactly one (unspecified) increasing or decreasing modular 3-sequence, with clockwise and counterclockwise traversals counted as distinct.
%D A235942 Paul J. Campbell, Circular permutations with exactly one modular run (3-sequence), submitted to Journal of Integer Sequences
%H A235942 Wayne M. Dymáček and Isaac Lambert, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL14/Dymacek/dymacek5.html">Circular permutations avoiding runs of i, i+1, i+2 or i, i-1, i-2</a>, Journal of Integer Sequences, Vol. 14 (2011) Article 11.1.6.
%F A235942 a(n) = 2*n^2 * A235937(n).
%F A235942 a(n) = n^2 * A235938(n).
%F A235942 a(n) = 2*n * A235939(n).
%F A235942 a(n) = n * A235940(n).
%F A235942 a(n) = 2 * A235941(n).
%Y A235942 Cf. A165961, A165964, A165962, A078628, A078673.
%Y A235942 Cf. A235937, A235938, A235939, A235940, A235941, A235943.
%K A235942 nonn
%O A235942 1,5
%A A235942 _Paul J. Campbell_, Jan 20 2014, with Joe Marasco and Ashish Vikram
%E A235942 a(20)-a(21) from _Alois P. Heinz_, Jan 24 2014
%E A235942 Obsolete b-file deleted by _N. J. A. Sloane_, Jan 05 2019