

A225896


Number of nX4 binary arrays whose sum with another nX4 binary array containing no more than a single 1 has rows and columns in lexicographically nondecreasing order


1



11, 78, 545, 3459, 19270, 93428, 396804, 1495926, 5079770, 15751596, 45136888, 120738965, 304047638, 725911911, 1652919000, 3607621216, 7579528833, 15385065750, 30266189863, 57863160815, 107762341802, 195911924170
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Column 4 of A225900


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..169


FORMULA

Empirical: a(n) = (1/653837184000)*n^16 + (29/186810624000)*n^15 + (71/10059033600)*n^14 + (497/2668723200)*n^13 + (11441/3592512000)*n^12 + (133949/3592512000)*n^11 + (139831/457228800)*n^10 + (227729/130636800)*n^9 + (34734211/4572288000)*n^8 + (43988369/1306368000)*n^7 + (227051569/1437004800)*n^6 + (222061289/718502400)*n^5 + (62570170547/54486432000)*n^4 + (837269/1001000)*n^3 + (36008363/5821200)*n^2  (302873/180180)*n + 4


EXAMPLE

Some solutions for n=3
..0..0..0..1....0..0..0..1....0..0..1..0....0..0..0..1....0..0..0..0
..1..1..0..0....0..0..0..1....0..0..1..1....0..0..1..1....0..0..1..1
..1..1..1..0....0..1..0..0....0..0..1..1....1..1..0..1....0..1..1..0


CROSSREFS

Sequence in context: A118936 A041224 A030054 * A239437 A140542 A101983
Adjacent sequences: A225893 A225894 A225895 * A225897 A225898 A225899


KEYWORD

nonn


AUTHOR

R. H. Hardin May 20 2013


STATUS

approved



