A278849 - OEIS

%I #4 Nov 29 2016 10:22:58

%S 0,0,1,25,239,1486,7072,27828,94720,287298,793024,2023332,4828941,

%T 10881820,23327332,47861324,94458120,180072500,332769135,597905471,

%U 1047219371,1791963626,3001600740,4930040800,7951993320,12612734550

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

%C Column 2 of A278855.

%H R. H. Hardin, <a href="/A278849/b278849.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

%e ..1..1. .1..1. .0..1. .0..1. .1..1. .0..1. .1..1. .1..1. .1..1. .0..0

%e ..0..1. .0..1. .1..1. .0..0. .0..0. .1..1. .0..1. .0..1. .1..0. .1..1

%e ..1..0. .0..0. .1..0. .1..1. .0..1. .0..1. .1..1. .1..1. .0..1. .0..1

%e ..0..1. .1..1. .0..1. .0..1. .0..0. .0..0. .0..0. .1..0. .0..0. .0..0

%Y Cf. A278855.

%K nonn

%O 1,4

%A _R. H. Hardin_, Nov 29 2016