A189201 Number of 8Xn binary arrays without the pattern 0 0 1 vertically or antidiagonally

88, 7744, 455376, 25421672, 1372985912, 73539558380, 3925306136096, 209311662962608, 11157624191092952, 594711699220463696, 31697676855899289808, 1689445004590812894576, 90044940251851683056384

Offset

1,1

Comments

Row 8 of A189196

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 88*a(n-1) -2026*a(n-2) +3440*a(n-3) +398024*a(n-4) -4372260*a(n-5) +1662056*a(n-6) +229365552*a(n-7) -1244207140*a(n-8) -3287450640*a(n-9) +66303169320*a(n-10) -269619866448*a(n-11) -20716498800*a(n-12) +3112092680256*a(n-13) -6535480153936*a(n-14) -7661455708576*a(n-15) +40112226193344*a(n-16) -24807334784832*a(n-17) -76731061646720*a(n-18) +158356706608640*a(n-19) -50189552815744*a(n-20) -244506307989760*a(n-21) +288216118457600*a(n-22) -29833514304512*a(n-23) +80794912975360*a(n-24) -13804549521408*a(n-25) -380176960995328*a(n-26) +1693040995549184*a(n-27) -3430504071266304*a(n-28) -2105843944267776*a(n-29) +10231173188296704*a(n-30) -2203984954540032*a(n-31) -11231589378785280*a(n-32) +6937259490410496*a(n-33) +3935367177830400*a(n-34) -4614787858169856*a(n-35) +828100528046080*a(n-36) +243871304908800*a(n-37) +64184423284736*a(n-38) -108500453687296*a(n-39) +29225708945408*a(n-40) -2452157890560*a(n-41)

Example

Some solutions for 8X3
..0..1..0....0..1..0....0..0..0....0..1..0....0..1..0....0..1..0....0..0..1
..1..1..1....1..1..1....1..1..1....1..1..0....1..1..1....1..0..1....1..1..0
..1..0..0....1..0..1....1..1..1....1..1..0....0..0..0....0..1..1....0..1..1
..0..1..1....1..1..0....1..0..1....0..1..0....1..1..1....1..0..1....1..1..1
..1..1..1....1..1..1....0..1..1....1..1..0....0..0..1....0..1..1....1..0..1
..0..1..1....1..1..1....1..1..1....0..1..0....1..1..1....1..1..1....0..1..1
..1..0..1....1..1..0....0..0..0....1..1..0....0..0..0....0..1..0....1..0..1
..1..0..1....0..0..1....1..1..1....1..1..0....1..0..1....1..1..0....1..0..0

Crossrefs

Sequence in context: A189701 A188762 A188991 * A052069 A346926 A174499

Adjacent sequences: A189198 A189199 A189200 * A189202 A189203 A189204

Keyword

nonn

Author

R. H. Hardin Apr 18 2011

Status

approved