A234179 Number of (n+1)X(3+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

1978, 39098, 771710, 15322566, 304760768, 6069161546, 120976778744, 2413255381166, 48169872198208, 961996241088124, 19220286118969210, 384153020051068138, 7680351493843948760, 153592187341555650968

Offset

1,1

Comments

Column 3 of A234184

Links

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

Formula

Empirical: a(n) = 59*a(n-1) -1253*a(n-2) +10658*a(n-3) -12393*a(n-4) -283822*a(n-5) +938714*a(n-6) +2905662*a(n-7) -12071951*a(n-8) -18482610*a(n-9) +67209819*a(n-10) +84336539*a(n-11) -168519304*a(n-12) -218405166*a(n-13) +167608180*a(n-14) +253438774*a(n-15) -36105806*a(n-16) -96411410*a(n-17) +1835064*a(n-18) +14870944*a(n-19) -529572*a(n-20) -839520*a(n-21) +95040*a(n-22)

Example

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

Crossrefs

Sequence in context: A206182 A205364 A210160 * A108510 A343971 A343972

Adjacent sequences: A234176 A234177 A234178 * A234180 A234181 A234182

Keyword

nonn

Author

R. H. Hardin, Dec 20 2013

Status

approved