A278173 Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

0, 13, 126, 1476, 17396, 205363, 2419304, 28515138, 336046126, 3960336818, 46672710626, 550039863065, 6482242131027, 76393487374019, 900300354854882, 10610076292064874, 125040180523981545, 1473603611859143248

Offset

1,2

Comments

Column 4 of A278177.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +37*a(n-2) -146*a(n-3) -565*a(n-4) +482*a(n-5) +3756*a(n-6) +1912*a(n-7) -9994*a(n-8) -15361*a(n-9) +6235*a(n-10) +38097*a(n-11) +1681*a(n-12) -74801*a(n-13) -52258*a(n-14) +114355*a(n-15) +199404*a(n-16) +48917*a(n-17) -140329*a(n-18) -74509*a(n-19) +107346*a(n-20) +57236*a(n-21) -67741*a(n-22) -49244*a(n-23) +6742*a(n-24) +39176*a(n-25) +15952*a(n-26) -11581*a(n-27) -5785*a(n-28) +1352*a(n-29) +3815*a(n-30) +911*a(n-31) -1017*a(n-32) -567*a(n-33) -218*a(n-34) +27*a(n-35) +9*a(n-36) +20*a(n-37) +2*a(n-38) +4*a(n-39) -a(n-40) for n>41

Example

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

Crossrefs

Cf. A278177.

Sequence in context: A317695 A016224 A360437 * A142673 A179550 A202662

Adjacent sequences: A278170 A278171 A278172 * A278174 A278175 A278176

Keyword

nonn

Author

R. H. Hardin, Nov 13 2016

Status

approved