A318064 - OEIS

A318064

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

2, 67, 649, 7170, 76927, 829137, 8929364, 96178466, 1035919809, 11157725916, 120178061288, 1294418390430, 13941970850679, 150166708458945, 1617421284514207, 17420982562261441, 187638580250909660

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A318068.

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) +19*a(n-2) -102*a(n-3) -178*a(n-4) +302*a(n-5) +901*a(n-6) +47*a(n-7) -3090*a(n-8) -1538*a(n-9) +5753*a(n-10) +4891*a(n-11) -5102*a(n-12) -3212*a(n-13) +1843*a(n-14) -6490*a(n-15) -5285*a(n-16) +19179*a(n-17) +30843*a(n-18) +13600*a(n-19) -14605*a(n-20) -29759*a(n-21) -27375*a(n-22) -19262*a(n-23) -7115*a(n-24) +21577*a(n-25) +35903*a(n-26) +13899*a(n-27) -8765*a(n-28) -10010*a(n-29) -6393*a(n-30) -2087*a(n-31) +1134*a(n-32) +1680*a(n-33) +796*a(n-34) -31*a(n-35) -149*a(n-36) -100*a(n-37) -16*a(n-38) +16*a(n-39)

EXAMPLE

Some solutions for n=5

..0..1..1..0. .0..1..0..0. .0..0..0..1. .0..0..1..0. .0..1..0..1

..0..0..1..1. .1..0..1..0. .1..1..1..1. .1..1..1..1. .1..0..0..0

..1..0..0..1. .0..1..1..0. .0..0..1..0. .0..1..1..0. .1..1..1..0

..1..0..1..1. .0..1..0..0. .0..0..0..0. .1..1..0..1. .0..1..1..0

..1..1..1..0. .0..1..0..1. .1..1..1..1. .0..0..0..1. .0..0..1..0

CROSSREFS

Cf. A318068.

Sequence in context: A154880 A160958 A046848 * A089661 A378254 A355326

Adjacent sequences: A318061 A318062 A318063 * A318065 A318066 A318067

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 15 2018

STATUS

approved