A234077 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10

476, 2900, 18048, 122532, 849760, 6162980, 45072784, 336800596, 2522650128, 19088198500, 144496686736, 1099235735220, 8361799506432, 63763278750940, 486171217676608, 3711468980550724, 28330997175625424, 216398588504027700

Offset

1,1

Comments

Column 2 of A234083

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +110*a(n-2) -519*a(n-3) -4442*a(n-4) +20823*a(n-5) +81982*a(n-6) -411807*a(n-7) -690514*a(n-8) +4300171*a(n-9) +1861828*a(n-10) -23858897*a(n-11) +6643493*a(n-12) +68557098*a(n-13) -46245180*a(n-14) -103634888*a(n-15) +97714860*a(n-16) +81249120*a(n-17) -98401776*a(n-18) -30312448*a(n-19) +51151424*a(n-20) +3449856*a(n-21) -13460736*a(n-22) +567296*a(n-23) +1597440*a(n-24) -98304*a(n-25) -65536*a(n-26)

Example

Some solutions for n=4
..0..3..0....2..0..2....0..1..2....0..1..3....3..4..2....2..1..2....1..2..3
..2..3..2....3..3..1....0..3..4....3..2..4....4..1..3....0..3..4....1..4..1
..4..1..4....0..2..4....3..2..1....0..3..1....3..2..4....0..1..2....1..2..1
..1..2..3....3..1..1....0..3..0....3..2..4....4..1..3....3..0..3....3..0..3
..4..3..0....4..4..2....2..3..2....4..1..1....3..4..2....1..0..1....0..1..0

Crossrefs

Sequence in context: A048428 A253395 A171077 * A205287 A236519 A205895

Adjacent sequences: A234074 A234075 A234076 * A234078 A234079 A234080

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved