A207884 Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically

28, 784, 2654, 8652, 33976, 138552, 618202, 2857532, 13771096, 67756306, 339739264, 1722062016, 8806555398, 45292066892, 233975264688, 1212420852554, 6297606134728, 32768547788112, 170738390765814, 890542029961372

Offset

1,1

Comments

Column 7 of A207885

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -63*a(n-2) -696*a(n-3) +5251*a(n-4) +6604*a(n-5) -145686*a(n-6) +136422*a(n-7) +2248670*a(n-8) -4855316*a(n-9) -22024270*a(n-10) +71903692*a(n-11) +141609775*a(n-12) -675400446*a(n-13) -563381335*a(n-14) +4488324436*a(n-15) +843058515*a(n-16) -22156577592*a(n-17) +5189879568*a(n-18) +83408718054*a(n-19) -44792061584*a(n-20) -243009164072*a(n-21) +187556916960*a(n-22) +552067051872*a(n-23) -534569670568*a(n-24) -979810946576*a(n-25) +1124030060168*a(n-26) +1353987450976*a(n-27) -1796501107688*a(n-28) -1443229551936*a(n-29) +2206889269952*a(n-30) +1165693664176*a(n-31) -2085915210048*a(n-32) -690834063936*a(n-33) +1507531198272*a(n-34) +281655712512*a(n-35) -822289038848*a(n-36) -66346689920*a(n-37) +331570320384*a(n-38) +1464774144*a(n-39) -95854256128*a(n-40) +4452892672*a(n-41) +18989957120*a(n-42) -1398530048*a(n-43) -2404745216*a(n-44) +184320000*a(n-45) +172359680*a(n-46) -9175040*a(n-47) -5242880*a(n-48) for n>49

Example

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

Crossrefs

Sequence in context: A207878 A207681 A207894 * A207761 A207168 A208012

Adjacent sequences: A207881 A207882 A207883 * A207885 A207886 A207887

Keyword

nonn

Author

R. H. Hardin Feb 21 2012

Status

approved