A279711 Number of 4Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

8, 13, 42, 125, 385, 1195, 3751, 11823, 37385, 118390, 375114, 1188640, 3766483, 11934903, 37818803, 119840838, 379760607, 1203429425, 3813594984, 12085090793, 38297085876, 121361690893, 384589567332, 1218746480798, 3862151137416

Offset

1,1

Comments

Row 4 of A279709.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -24*a(n-2) +31*a(n-3) +2*a(n-4) -66*a(n-5) +96*a(n-6) -50*a(n-7) -14*a(n-8) -18*a(n-9) +77*a(n-10) +32*a(n-11) -243*a(n-12) +257*a(n-13) +22*a(n-14) -117*a(n-15) +3*a(n-16) -28*a(n-17) +17*a(n-18) +7*a(n-19) +5*a(n-20) +3*a(n-21) +a(n-23) for n>25

Example

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

Crossrefs

Cf. A279709.

Sequence in context: A039298 A360790 A218627 * A043121 A043901 A359553

Adjacent sequences: A279708 A279709 A279710 * A279712 A279713 A279714

Keyword

nonn

Author

R. H. Hardin, Dec 17 2016

Status

approved