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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.

A278621 Number of nX2 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.

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%I A278621 #5 Nov 24 2016 08:40:14
%S A278621 3,46,357,1952,8518,31605,103546,307087,838936,2138608,5137407,
%T A278621 11719956,25549096,53493458,108027996,211167710,400765157,740380790,
%U A278621 1334456849,2351234708,4056807390,6864961455,11409118950,18644841765,29994129570
%N A278621 Number of nX2 0..2 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.
%C A278621 Column 2 of A278627.
%H A278621 R. H. Hardin, <a href="/A278621/b278621.txt">Table of n, a(n) for n = 1..210</a>
%F A278621 Empirical: a(n) = (1/1307674368000)*n^15 + (1/12454041600)*n^14 + (149/37362124800)*n^13 + (17/136857600)*n^12 + (3497/1306368000)*n^11 + (241/5806080)*n^10 + (865163/1828915200)*n^9 + (351247/87091200)*n^8 + (2328827/93312000)*n^7 + (698341/6220800)*n^6 + (259070737/718502400)*n^5 + (30620411/39916800)*n^4 + (8765485871/9081072000)*n^3 + (2221837/3603600)*n^2 + (4873/32760)*n
%e A278621 Some solutions for n=4
%e A278621 ..2..0. .0..0. .1..0. .0..1. .2..0. .0..0. .1..0. .2..2. .2..2. .0..0
%e A278621 ..0..0. .2..2. .1..2. .1..2. .2..0. .1..0. .1..2. .1..1. .2..2. .2..1
%e A278621 ..2..1. .1..1. .2..2. .2..0. .2..1. .2..2. .2..1. .2..1. .2..2. .0..2
%e A278621 ..2..1. .2..0. .0..0. .2..0. .1..2. .0..0. .0..1. .2..2. .0..0. .1..0
%Y A278621 Cf. A278627.
%K A278621 nonn
%O A278621 1,1
%A A278621 _R. H. Hardin_, Nov 24 2016