A282556 Number of n X 4 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element.

0, 36, 618, 6284, 73140, 766472, 7774180, 77796496, 762302160, 7378886108, 70685503542, 671138516516, 6326727994922, 59273960871188, 552390880671856, 5124280101956484, 47344145084965492, 435863812736016840

Offset

1,2

Comments

Column 4 of A282560.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -17*a(n-2) -190*a(n-3) -1006*a(n-4) +3164*a(n-5) +7125*a(n-6) +5766*a(n-7) -66778*a(n-8) +34886*a(n-9) +25834*a(n-10) -85288*a(n-11) +31315*a(n-12) -51976*a(n-13) -9686*a(n-14) +30964*a(n-15) -43541*a(n-16) +5466*a(n-17) -6977*a(n-18) +1458*a(n-19) +7732*a(n-20) -372*a(n-21) -343*a(n-22) -394*a(n-23) -104*a(n-24) +50*a(n-25) +4*a(n-27) -a(n-28).

Example

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

Crossrefs

Cf. A282560.

Sequence in context: A323974 A126926 A163720 * A129839 A342900 A160316

Adjacent sequences: A282553 A282554 A282555 * A282557 A282558 A282559

Keyword

nonn

Author

R. H. Hardin, Feb 18 2017

Status

approved