A269000 Number of 6Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.

64, 1121, 19416, 308112, 4583103, 66954420, 946498448, 13228660133, 181784804730, 2475749104139, 33385659799195, 447113747804052, 5948793054106681, 78732585838628885, 1037092115497761586

Offset

1,1

Comments

Row 6 of A268995.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +237*a(n-2) +556*a(n-3) -17745*a(n-4) -102122*a(n-5) +202421*a(n-6) +2379616*a(n-7) -22987*a(n-8) -27364786*a(n-9) -13031593*a(n-10) +199889692*a(n-11) +91121845*a(n-12) -1012462462*a(n-13) -190133151*a(n-14) +3595273076*a(n-15) -642988498*a(n-16) -8640634728*a(n-17) +4929067410*a(n-18) +12985931924*a(n-19) -13174973746*a(n-20) -9991379232*a(n-21) +18252268246*a(n-22) +272964868*a(n-23) -13058804606*a(n-24) +5323457016*a(n-25) +4041105222*a(n-26) -3401387484*a(n-27) -210272991*a(n-28) +912442186*a(n-29) -169777035*a(n-30) -118543140*a(n-31) +43493135*a(n-32) +6734614*a(n-33) -4652195*a(n-34) -21632*a(n-35) +259061*a(n-36) -13682*a(n-37) -7961*a(n-38) +524*a(n-39) +133*a(n-40) -6*a(n-41) -a(n-42)

Example

Some solutions for n=3
..0..1..0. .0..0..0. .0..1..1. .0..1..0. .0..1..0. .0..0..0. .0..0..1
..0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..0..0. .0..0..0. .0..0..1
..1..0..0. .0..0..1. .1..0..1. .0..0..1. .0..1..0. .1..0..0. .1..0..1
..1..0..1. .1..0..0. .1..0..1. .0..0..0. .1..0..0. .0..1..0. .1..0..1
..0..1..0. .0..1..0. .0..0..0. .1..0..0. .1..0..0. .0..1..1. .0..0..0
..0..0..0. .0..1..1. .0..0..1. .1..1..0. .1..0..0. .0..0..0. .0..1..0

Crossrefs

Cf. A268995.

Sequence in context: A223070 A191900 A191494 * A189276 A081102 A250171

Adjacent sequences: A268997 A268998 A268999 * A269001 A269002 A269003

Keyword

nonn

Author

R. H. Hardin, Feb 17 2016

Status

approved