A234031 Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

1543, 30263, 591711, 11637549, 229271097, 4522455227, 89286112307, 1763973731193, 34868594406281, 689542829566223, 13640600287798095, 269910850141570569, 5341921598774700885, 105741580472088580363

Offset

1,1

Comments

Column 3 of A234036.

Links

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

Formula

Empirical: a(n) = 41*a(n-1) -473*a(n-2) +378*a(n-3) +15090*a(n-4) -24456*a(n-5) -191256*a(n-6) +160111*a(n-7) +1124270*a(n-8) +180876*a(n-9) -2156866*a(n-10) -1359614*a(n-11) +738304*a(n-12) +501820*a(n-13) -106672*a(n-14) -46728*a(n-15) +7920*a(n-16).

Example

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

Crossrefs

Cf. A234036.

Sequence in context: A252966 A133560 A232102 * A038009 A362507 A249008

Adjacent sequences: A234028 A234029 A234030 * A234032 A234033 A234034

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved