A282589 Number of nX4 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly two elements.

0, 12, 533, 6116, 73469, 855448, 9375582, 100393362, 1053618468, 10851865132, 110231326957, 1106423328366, 10991913628813, 108248005283306, 1057861467494074, 10268295960149394, 99073963762531602, 950793233680462562

Offset

1,2

Comments

Column 4 of A282593.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -99*a(n-2) -278*a(n-3) +102*a(n-4) +17181*a(n-5) -872*a(n-6) -126009*a(n-7) -517632*a(n-8) +1166714*a(n-9) +2396433*a(n-10) +1041354*a(n-11) -17643316*a(n-12) +14438214*a(n-13) +9960036*a(n-14) -34654204*a(n-15) +20403396*a(n-16) -16378614*a(n-17) -10212348*a(n-18) +23075214*a(n-19) -33208896*a(n-20) +6019068*a(n-21) +529872*a(n-22) -8735502*a(n-23) +9457342*a(n-24) -7227768*a(n-25) +241416*a(n-26) +1429254*a(n-27) -102708*a(n-28) +1237242*a(n-29) -246196*a(n-30) -257508*a(n-31) -50715*a(n-32) -14023*a(n-33) +28263*a(n-34) +3480*a(n-35) -286*a(n-36) -441*a(n-37) -312*a(n-38) +71*a(n-39) -6*a(n-40) +6*a(n-41) -a(n-42)

Example

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

Crossrefs

Cf. A282593.

Sequence in context: A202079 A296685 A281030 * A067733 A353194 A285748

Adjacent sequences: A282586 A282587 A282588 * A282590 A282591 A282592

Keyword

nonn

Author

R. H. Hardin, Feb 19 2017

Status

approved