A297697 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.

16, 48, 415, 1774, 12214, 60904, 378611, 2026447, 12017015, 66465945, 385592382, 2165486783, 12434785358, 70330789227, 401931843469, 2280829145222, 13005603168706, 73915930618863, 421040013595102, 2394648017238224

Offset

1,1

Comments

Row 4 of A297694.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +25*a(n-2) -166*a(n-3) -163*a(n-4) +1490*a(n-5) +278*a(n-6) -5665*a(n-7) -251*a(n-8) +9559*a(n-9) +2285*a(n-10) -4496*a(n-11) -5180*a(n-12) -5803*a(n-13) +491*a(n-14) +5580*a(n-15) +4942*a(n-16) +1233*a(n-17) -1413*a(n-18) -1469*a(n-19) -650*a(n-20) -78*a(n-21) +13*a(n-22) +31*a(n-23) +14*a(n-24)

Example

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

Crossrefs

Cf. A297694.

Sequence in context: A165117 A226966 A297460 * A231526 A329075 A041496

Adjacent sequences: A297694 A297695 A297696 * A297698 A297699 A297700

Keyword

nonn

Author

R. H. Hardin, Jan 03 2018

Status

approved