A227676 Number of nX3 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X4 binary array having an odd sum, with rows and columns of the latter in lexicographically nondecreasing order

7, 50, 283, 1343, 5434, 19188, 60484, 173433, 459198, 1135975, 2650373, 5876032, 12455509, 25370717, 49868689, 94927157, 175523369, 316075856, 555569995, 955063241, 1608505660, 2658118770, 4315965894, 6893838077, 10844191896

Offset

1,1

Comments

Column 3 of A227679

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (1/87178291200)*n^14 + (1/958003200)*n^13 + (43/958003200)*n^12 + (1109/958003200)*n^11 + (71/3483648)*n^10 + (7571/29030400)*n^9 + (1530253/609638400)*n^8 + (1146517/87091200)*n^7 + (2010823/21772800)*n^6 + (85537/680400)*n^5 + (66387593/59875200)*n^4 - (218177/19958400)*n^3 + (725933107/151351200)*n^2 - (1777/13860)*n + 1

Example

Some solutions for n=4
..0..0..0....0..1..0....0..1..0....0..1..0....0..0..1....0..1..0....1..0..0
..0..0..1....1..1..0....1..0..1....1..0..0....0..1..1....0..0..0....1..0..0
..1..0..1....0..0..0....0..1..1....0..1..1....0..1..1....1..1..0....0..0..0
..0..1..0....1..1..1....0..1..0....1..0..0....0..0..0....1..1..0....0..1..0

Crossrefs

Sequence in context: A153693 A293475 A293801 * A278875 A266360 A288787

Adjacent sequences: A227673 A227674 A227675 * A227677 A227678 A227679

Keyword

nonn

Author

R. H. Hardin Jul 19 2013

Status

approved