A303458 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 128, 1696, 22756, 306448, 4129588, 55681352, 750838628, 10125474040, 136549176292, 1841478572144, 24833903347572, 334906650542448, 4516506726074020, 60909019475694136, 821411104147953668

Offset

1,1

Comments

Row 4 of A303456.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +18*a(n-2) -338*a(n-3) -62*a(n-4) +1192*a(n-5) -648*a(n-6) +1818*a(n-7) +1407*a(n-8) -3144*a(n-9) +3656*a(n-10) -8832*a(n-11) -7324*a(n-12) +8010*a(n-13) +2202*a(n-14) +3312*a(n-15) for n>16

Example

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

Crossrefs

Cf. A303456.

Sequence in context: A302743 A300800 A303452 * A301439 A302006 A302011

Adjacent sequences: A303455 A303456 A303457 * A303459 A303460 A303461

Keyword

nonn

Author

R. H. Hardin, Apr 24 2018

Status

approved