A297436 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s.

1, 9, 163, 513, 1673, 11345, 76692, 369339, 1884628, 11192445, 65443804, 363190352, 2054756012, 11932452996, 69055517021, 397129636069, 2294556284523, 13315984703556, 77249224097926, 447935490920599, 2600182480118461

Offset

1,2

Comments

Row 6 of A297431.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -5*a(n-2) -52*a(n-3) +235*a(n-4) -1417*a(n-5) +119*a(n-6) +11998*a(n-7) -23851*a(n-8) +35914*a(n-9) +128721*a(n-10) -431499*a(n-11) +63*a(n-12) -316351*a(n-13) -1181457*a(n-14) +6653626*a(n-15) +6083150*a(n-16) +686345*a(n-17) -23876102*a(n-18) -44657674*a(n-19) -40625656*a(n-20) +27426776*a(n-21) +180232848*a(n-22) -6117397*a(n-23) +256469872*a(n-24) -448903241*a(n-25) +357050118*a(n-26) +77098208*a(n-27) -534326483*a(n-28) +938773507*a(n-29) -1045575660*a(n-30) +85689015*a(n-31) -673376811*a(n-32) +16900755*a(n-33) -379055158*a(n-34) +2710572062*a(n-35) -3018453162*a(n-36) +1918257061*a(n-37) -1558433704*a(n-38) -191978145*a(n-39) +2292180448*a(n-40) -1765903997*a(n-41) +1682246835*a(n-42) -602727420*a(n-43) +188772566*a(n-44) -392142956*a(n-45) +51149716*a(n-46) +148129186*a(n-47) -61831720*a(n-48) -41008530*a(n-49) +10618479*a(n-50) +3973690*a(n-51) -3553977*a(n-52) -116244*a(n-53) +1794331*a(n-54) +658856*a(n-55) -244814*a(n-56) +58880*a(n-57) -26352*a(n-58) -256*a(n-59)

Example

Some solutions for n=5
..0..0..1..1..0. .0..0..0..0..0. .0..0..0..0..0. .1..1..0..1..1
..0..1..0..0..1. .0..0..0..0..0. .1..1..0..1..1. .1..1..0..1..1
..1..0..0..1..0. .0..0..0..0..0. .1..1..0..1..1. .0..0..0..0..0
..0..1..0..1..1. .0..0..1..1..0. .0..0..0..0..0. .0..1..1..0..0
..1..0..0..0..1. .0..0..1..1..0. .1..1..0..0..0. .1..1..0..0..0
..0..1..1..1..0. .0..0..0..0..0. .0..1..1..0..0. .0..0..0..0..0

Crossrefs

Cf. A297431.

Sequence in context: A362900 A157574 A077280 * A041147 A041144 A212334

Adjacent sequences: A297433 A297434 A297435 * A297437 A297438 A297439

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved