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A225978
Number of nX4 binary arrays whose sum with another nX4 binary array containing no more than two 1s has rows and columns in lexicographically nondecreasing order
1
15, 138, 1178, 9113, 61808, 361361, 1825607, 8065278, 31631401, 111785599, 360788468, 1075829429, 2993017696, 7832960008, 19417916324, 45865067963, 103734768130, 225619306783, 473616394498, 962612525277, 1899542726132
OFFSET
1,1
COMMENTS
Column 4 of A225982
LINKS
FORMULA
Empirical: a(n) = (23/14820309504000)*n^17 + (397/2615348736000)*n^16 + (1429/217945728000)*n^15 + (21083/130767436800)*n^14 + (156407/62270208000)*n^13 + (375707/14370048000)*n^12 + (3136061/16765056000)*n^11 + (21563/22861440)*n^10 + (26402329/6096384000)*n^9 + (423919927/18289152000)*n^8 + (68634593/598752000)*n^7 + (144700261/1437004800)*n^6 + (19312991563/12108096000)*n^5 - (22496273857/4540536000)*n^4 + (97668459683/3027024000)*n^3 - (41460631/700700)*n^2 + (20134601/291720)*n - 23 for n>2
EXAMPLE
Some solutions for n=3
..0..0..0..1....0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..1
..0..1..0..1....0..0..0..0....1..0..0..0....1..1..1..0....0..0..0..1
..1..0..1..1....1..0..0..1....0..0..0..1....0..1..0..0....1..1..0..1
CROSSREFS
Sequence in context: A126536 A299033 A030056 * A175707 A123955 A027802
KEYWORD
nonn
AUTHOR
R. H. Hardin May 22 2013
STATUS
approved