A281803 Number of 2 X n 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 0, 6, 38, 157, 524, 1631, 4694, 13006, 34776, 90703, 231788, 582557, 1444328, 3539638, 8590070, 20670737, 49377196, 117193443, 276578138, 649454590, 1518211492, 3534848915, 8200472092, 18962152697, 43716887564, 100516988278

Offset

1,3

Comments

Row 2 of A281802.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -10*a(n-2) -29*a(n-3) +68*a(n-4) +67*a(n-5) -195*a(n-6) -108*a(n-7) +306*a(n-8) +132*a(n-9) -276*a(n-10) -96*a(n-11) +136*a(n-12) +32*a(n-13) -32*a(n-14).

Example

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

Crossrefs

Cf. A281802.

Sequence in context: A229620 A045949 A189492 * A288030 A264502 A263331

Adjacent sequences: A281800 A281801 A281802 * A281804 A281805 A281806

Keyword

nonn

Author

R. H. Hardin, Jan 30 2017

Status

approved