A297460 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s.

16, 48, 390, 1677, 10579, 52714, 303202, 1595942, 8870125, 47677361, 261582358, 1417183936, 7737647802, 42045961903, 229144537845, 1246564200638, 6788893506436, 36947833081238, 201168409801195, 1095013593863467

Offset

1,1

Comments

Row 4 of A297457.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) -32*a(n-3) -18*a(n-4) -113*a(n-5) -37*a(n-6) +422*a(n-7) -77*a(n-8) +349*a(n-9) +165*a(n-10) -118*a(n-11) -14*a(n-12) -48*a(n-13) -2*a(n-14) +8*a(n-15)

Example

Some solutions for n=6
..1..0..1..0..0..1. .0..0..0..1..0..0. .1..1..1..0..0..0. .0..0..1..0..0..0
..1..0..0..0..0..1. .0..0..0..0..0..1. .0..1..0..0..0..0. .0..0..0..0..1..0
..1..0..1..1..0..0. .1..0..1..1..0..1. .0..1..0..0..1..1. .0..1..0..0..0..0
..1..0..1..1..0..1. .1..0..1..1..0..0. .0..0..0..1..1..0. .0..1..0..0..0..1

Crossrefs

Cf. A297457.

Sequence in context: A165115 A165117 A226966 * A297697 A231526 A329075

Adjacent sequences: A297457 A297458 A297459 * A297461 A297462 A297463

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved