A297819 Number of nX4 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero.

2, 49, 146, 466, 1395, 4306, 13417, 41512, 128084, 395130, 1219746, 3768063, 11642142, 35964517, 111087880, 343131807, 1059922547, 3274149571, 10114014322, 31242498943, 96508734369, 298117843290, 920895161362, 2844676016212

Offset

1,1

Comments

Column 4 of A297823.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +4*a(n-3) -a(n-5) -8*a(n-6) -35*a(n-7) +29*a(n-8) +32*a(n-9) +39*a(n-10) -35*a(n-11) -31*a(n-12) +5*a(n-13) +14*a(n-14) -3*a(n-15) -14*a(n-16) +2*a(n-17) +4*a(n-18) for n>21

Example

Some solutions for n=7
..0..1..0..1. .0..1..1..1. .0..0..1..0. .0..1..0..0. .0..0..1..1
..1..0..1..0. .1..0..0..1. .0..1..1..0. .0..1..1..0. .1..1..0..0
..1..0..1..0. .0..1..1..0. .1..0..0..1. .1..0..0..1. .0..1..0..1
..0..0..1..0. .1..0..0..1. .1..1..1..1. .0..1..1..0. .0..1..0..1
..1..0..1..0. .0..1..1..1. .0..0..0..0. .1..0..0..0. .1..0..0..1
..1..0..1..1. .0..0..0..0. .0..1..1..0. .1..1..1..1. .1..1..1..1
..1..1..0..0. .1..1..1..1. .1..0..1..0. .0..0..0..0. .0..0..0..0

Crossrefs

Cf. A297823.

Sequence in context: A058845 A041287 A057563 * A297989 A028479 A189389

Adjacent sequences: A297816 A297817 A297818 * A297820 A297821 A297822

Keyword

nonn

Author

R. H. Hardin, Jan 06 2018

Status

approved