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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.

A278849 Number of nX2 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.

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%I A278849 #4 Nov 29 2016 10:22:58
%S A278849 0,0,1,25,239,1486,7072,27828,94720,287298,793024,2023332,4828941,
%T A278849 10881820,23327332,47861324,94458120,180072500,332769135,597905471,
%U A278849 1047219371,1791963626,3001600740,4930040800,7951993320,12612734550
%N A278849 Number of nX2 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly three mistakes.
%C A278849 Column 2 of A278855.
%H A278849 R. H. Hardin, <a href="/A278849/b278849.txt">Table of n, a(n) for n = 1..210</a>
%F A278849 Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (43/958003200)*n^12 + (893/958003200)*n^11 + (863/87091200)*n^10 + (11/358400)*n^9 + (28333/609638400)*n^8 + (32029/87091200)*n^7 + (13219/21772800)*n^6 - (119603/10886400)*n^5 - (291547/59875200)*n^4 + (883781/19958400)*n^3 + (127307/30270240)*n^2 - (467/13860)*n
%e A278849 Some solutions for n=4
%e A278849 ..1..1. .1..1. .0..1. .0..1. .1..1. .0..1. .1..1. .1..1. .1..1. .0..0
%e A278849 ..0..1. .0..1. .1..1. .0..0. .0..0. .1..1. .0..1. .0..1. .1..0. .1..1
%e A278849 ..1..0. .0..0. .1..0. .1..1. .0..1. .0..1. .1..1. .1..1. .0..1. .0..1
%e A278849 ..0..1. .1..1. .0..1. .0..1. .0..0. .0..0. .0..0. .1..0. .0..0. .0..0
%Y A278849 Cf. A278855.
%K A278849 nonn
%O A278849 1,4
%A A278849 _R. H. Hardin_, Nov 29 2016