A279853 Number of nX4 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

2, 24, 168, 972, 5200, 26632, 134898, 668668, 3278294, 15902088, 76515244, 365585432, 1736575416, 8206953072, 38615236370, 180986296644, 845359203352, 3936439186972, 18279759467004, 84675466304900, 391350188916098

Offset

1,1

Comments

Column 4 of A279856.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -96*a(n-2) +234*a(n-3) +74*a(n-4) -1878*a(n-5) +5053*a(n-6) -6092*a(n-7) -1433*a(n-8) +20562*a(n-9) -43095*a(n-10) +59066*a(n-11) -74667*a(n-12) +116460*a(n-13) -201487*a(n-14) +270314*a(n-15) -234247*a(n-16) +69548*a(n-17) +147085*a(n-18) -260796*a(n-19) +309393*a(n-20) -437158*a(n-21) +682254*a(n-22) -940810*a(n-23) +842002*a(n-24) -383734*a(n-25) -172142*a(n-26) +689424*a(n-27) -853200*a(n-28) +709896*a(n-29) -491572*a(n-30) +247956*a(n-31) -95569*a(n-32) +32832*a(n-33) -3312*a(n-34) -624*a(n-35) +192*a(n-36) -384*a(n-37) -64*a(n-38) for n>41

Example

Some solutions for n=4
..0..0..1..1. .0..0..0..1. .0..0..1..1. .0..1..0..0. .0..0..0..0
..0..0..1..1. .2..2..0..0. .0..0..1..1. .0..0..0..0. .1..1..0..0
..0..2..1..1. .2..2..0..0. .1..2..2..2. .0..1..1..1. .1..1..1..0
..0..2..2..2. .2..2..2..2. .1..2..2..2. .0..1..1..1. .1..1..1..1

Crossrefs

Cf. A279856.

Sequence in context: A288443 A108476 A157053 * A052411 A073066 A002736

Adjacent sequences: A279850 A279851 A279852 * A279854 A279855 A279856

Keyword

nonn

Author

R. H. Hardin, Dec 20 2016

Status

approved