A251493 Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8

2270, 86946, 3361296, 130169514, 5042543734, 195351371872, 7568125133206, 293198072124546, 11358843131212260, 440055171232822378, 17048264028944367306, 660470155275254978524, 25587404413719974204546

Offset

1,1

Comments

Column 2 of A251499

Links

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

Formula

Empirical: a(n) = 46*a(n-1) -243*a(n-2) -1796*a(n-3) +12368*a(n-4) -4170*a(n-5) -57120*a(n-6) +67165*a(n-7) +32054*a(n-8) -72328*a(n-9) +15648*a(n-10) +13056*a(n-11) -4608*a(n-12)

Example

Some solutions for n=2
..1..0..2....3..0..3....3..0..3....3..1..0....3..2..3....2..2..1....3..1..2
..0..3..1....3..1..2....3..0..2....1..2..2....2..1..2....2..1..1....1..1..1
..0..1..1....0..3..1....0..3..0....1..3..1....1..1..2....2..0..3....0..3..0

Crossrefs

Sequence in context: A125253 A308792 A236606 * A235519 A235522 A235650

Adjacent sequences: A251490 A251491 A251492 * A251494 A251495 A251496

Keyword

nonn

Author

R. H. Hardin, Dec 03 2014

Status

approved