A280157 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 18, 94, 424, 1854, 7628, 30874, 123312, 488256, 1920790, 7513678, 29249892, 113386708, 437908264, 1685639238, 6469357240, 24762845248, 94557090250, 360277506538, 1369975634630, 5199885300498, 19703519987286, 74545164231536

Offset

1,1

Comments

Column 4 of A280161.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -8*a(n-2) -74*a(n-3) +144*a(n-4) +268*a(n-5) -631*a(n-6) -714*a(n-7) +1344*a(n-8) +2362*a(n-9) -2134*a(n-10) -6068*a(n-11) +2745*a(n-12) +9240*a(n-13) +321*a(n-14) -10644*a(n-15) -5878*a(n-16) +9474*a(n-17) +4820*a(n-18) -1796*a(n-19) -2276*a(n-20) -1436*a(n-21) +58*a(n-22) +800*a(n-23) +187*a(n-24) -46*a(n-25) -43*a(n-26) -28*a(n-27) +a(n-28) +6*a(n-29) -a(n-30) for n>36

Example

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

Crossrefs

Cf. A280161.

Sequence in context: A206623 A036800 A157052 * A224616 A052633 A052638

Adjacent sequences: A280154 A280155 A280156 * A280158 A280159 A280160

Keyword

nonn

Author

R. H. Hardin, Dec 27 2016

Status

approved