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.

A284731 Square array read by antidiagonals downwards: T(n,k) = number of linear extensions of the North-East rectangular partial order NE_{n,k} that avoid the pattern 123.

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%I A284731 #17 Jun 17 2017 02:27:09
%S A284731 1,1,1,1,2,1,1,5,5,1,1,14,33,14,1,1,42,234,238,42,1,1,132,1706,4146,
%T A284731 1782,132,1
%N A284731 Square array read by antidiagonals downwards: T(n,k) = number of linear extensions of the North-East rectangular partial order NE_{n,k} that avoid the pattern 123.
%H A284731 David Anderson, E. S. Egge, M. Riehl, L. Ryan, R. Steinke, Y. Vaughan, <a href="http://arxiv.org/abs/1605.06825">Pattern Avoiding Linear Extensions of Rectangular Posets</a>, arXiv preprint arXiv:1605.06825 [math.CO], 2016.
%e A284731 The square array begins:
%e A284731   1,   1,      1,        1,       1,      1, ...
%e A284731   1,   2,      5,       14,      42,    132, ...
%e A284731   1,   5,     33,      234,    1706,  12618, ...
%e A284731   1,  14,    238,     4146,   72152, 126804, ...
%e A284731   1,  42,   1782,    75187, 3099106, ...
%e A284731   1, 132,  13593,  1378668, ...
%e A284731   1, 429, 104756, 25430445, ...
%e A284731   ...
%e A284731 As a triangular array:
%e A284731   1,
%e A284731   1,   1,
%e A284731   1,   2,    1,
%e A284731   1,   5,    5,    1,
%e A284731   1,  14,   33,   14,    1,
%e A284731   1,  42,  234,  238,   42,   1,
%e A284731   1, 132, 1706, 4146, 1782, 132, 1,
%e A284731   ...
%Y A284731 Cf. A281732, A281733, A281734.
%K A284731 nonn,tabl,more
%O A284731 1,5
%A A284731 _N. J. A. Sloane_, Apr 07 2017