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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.

A278802 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

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%I A278802 #5 Nov 28 2016 13:32:23
%S A278802 10,63,322,1439,5767,20972,69834,214774,615120,1653047,4196501,
%T A278802 10123619,23327383,51572441,109818385,225997932,450803519,873872396,
%U A278802 1649976645,3040564120,5478446820,9666837555,16728604905,28427944695,47495149011
%N A278802 Number of nX3 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.
%C A278802 Column 3 of A278807.
%H A278802 R. H. Hardin, <a href="/A278802/b278802.txt">Table of n, a(n) for n = 1..210</a>
%F A278802 Empirical: a(n) = (1/20922789888000)*n^16 + (1/201180672000)*n^15 + (257/1046139494400)*n^14 + (1/130636800)*n^13 + (19241/114960384000)*n^12 + (3523/1306368000)*n^11 + (241517/7315660800)*n^10 + (284771/914457600)*n^9 + (336468511/146313216000)*n^8 + (35482669/2612736000)*n^7 + (376442771/5748019200)*n^6 + (46737917/179625600)*n^5 + (361669107043/435891456000)*n^4 + (250175041/127008000)*n^3 + (375648041/121080960)*n^2 + (13891/5040)*n + 1
%e A278802 Some solutions for n=4
%e A278802 ..1..1..0. .1..1..0. .1..0..0. .0..0..0. .1..1..0. .2..1..0. .1..0..0
%e A278802 ..2..0..2. .2..1..1. .1..2..0. .0..0..0. .1..1..0. .2..1..0. .1..1..1
%e A278802 ..2..2..0. .2..1..2. .1..2..1. .0..0..0. .1..1..1. .2..1..0. .1..1..1
%e A278802 ..2..2..0. .2..1..2. .2..2..2. .1..0..0. .2..1..0. .2..2..1. .2..2..0
%Y A278802 Cf. A278807.
%K A278802 nonn
%O A278802 1,1
%A A278802 _R. H. Hardin_, Nov 28 2016