A268780 Number of n X 7 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.

72, 766, 10615, 115391, 1288693, 13493468, 140404442, 1425678976, 14341399141, 142487073304, 1404716302427, 13742060955231, 133640514636584, 1292631496259982, 12446235637750465, 119353876258739189

Offset

1,1

Comments

Column 7 of A268781.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +64*a(n-2) -942*a(n-3) -1476*a(n-4) +26868*a(n-5) +2249*a(n-6) -376788*a(n-7) +333472*a(n-8) +2686292*a(n-9) -4376424*a(n-10) -8985248*a(n-11) +21881197*a(n-12) +12658940*a(n-13) -55768960*a(n-14) +923990*a(n-15) +80699088*a(n-16) -25850884*a(n-17) -69171189*a(n-18) +34934900*a(n-19) +34833816*a(n-20) -22502076*a(n-21) -9502460*a(n-22) +7752808*a(n-23) +1023260*a(n-24) -1356480*a(n-25) +55136*a(n-26) +94080*a(n-27) -14400*a(n-28).

Example

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

Crossrefs

Cf. A268781.

Sequence in context: A008448 A282213 A304828 * A086579 A113855 A082949

Adjacent sequences: A268777 A268778 A268779 * A268781 A268782 A268783

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved