A297522 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.

1, 24, 177, 624, 2610, 15896, 85843, 402072, 1970884, 10281752, 52457558, 260911506, 1310325200, 6651660023, 33617677893, 169149591947, 852752626610, 4307076050513, 21735155415610, 109599311945494, 552867513790810

Offset

1,2

Comments

Row 4 of A297519.

Links

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

Formula

Empirical: a(n) = a(n-1) +7*a(n-2) +30*a(n-3) +190*a(n-4) +135*a(n-5) -397*a(n-6) -744*a(n-7) -3268*a(n-8) -2810*a(n-9) +6340*a(n-10) +2928*a(n-11) -2154*a(n-12) +11260*a(n-13) -3923*a(n-14) -40330*a(n-15) -10049*a(n-16) +42471*a(n-17) +30552*a(n-18) -645*a(n-19) -17700*a(n-20) -17696*a(n-21) +2847*a(n-22) +15106*a(n-23) -2542*a(n-24) -5927*a(n-25) +11368*a(n-26) +2122*a(n-27) -2117*a(n-28) +212*a(n-29) -4*a(n-30) -94*a(n-31)

Example

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

Crossrefs

Cf. A297519.

Sequence in context: A209716 A209709 A209986 * A165187 A052761 A371158

Adjacent sequences: A297519 A297520 A297521 * A297523 A297524 A297525

Keyword

nonn

Author

R. H. Hardin, Dec 31 2017

Status

approved