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

11, 78, 545, 3459, 19270, 93428, 396804, 1495926, 5079770, 15751596, 45136888, 120738965, 304047638, 725911911, 1652919000, 3607621216, 7579528833, 15385065750, 30266189863, 57863160815, 107762341802, 195911924170

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