A198904 Number of nX6 0..4 arrays with values 0..4 introduced in row major order and no element equal to any horizontal or vertical neighbor

51, 62004, 89793204, 130292546801, 189062985604305, 274342896958292170, 398089706066811447174, 577654521153750977585383, 838214957290859115489996817, 1216305402162613228248847610489

Offset

1,1

Comments

Column 6 of A198906

Links

R. H. Hardin, Table of n, a(n) for n = 1..100

Formula

Empirical: a(n) = 1941*a(n-1) -806387*a(n-2) +148087843*a(n-3) -14409929271*a(n-4) +778094676063*a(n-5) -21816737058431*a(n-6) +172301552678113*a(n-7) +7343185920165785*a(n-8) -245567930834154099*a(n-9) +3173967512676632848*a(n-10) -15227320856420081570*a(n-11) -91185217544269175883*a(n-12) +1851754850894045611993*a(n-13) -13021262413927953929580*a(n-14) +53026970301996239080604*a(n-15) -137791962761820102384680*a(n-16) +234523646685947458039624*a(n-17) -259529910793881853229984*a(n-18) +179240545997964052307808*a(n-19) -69895831119161489802880*a(n-20) +11699525896373883270144*a(n-21)

Example

Some solutions with values 0 to 4 for n=4
..0..1..0..2..3..4....0..1..0..2..0..3....0..1..0..2..3..0....0..1..0..2..0..3
..1..0..1..0..2..1....1..0..1..0..3..2....1..0..1..0..4..3....1..0..1..0..3..0
..0..1..0..2..1..4....0..1..0..3..4..0....0..1..0..2..3..1....0..1..0..3..0..1
..1..0..1..4..2..0....1..0..1..2..1..4....1..0..1..0..2..0....1..0..1..4..1..4

Crossrefs

Sequence in context: A208198 A208405 A208412 * A238567 A198251 A135531

Adjacent sequences: A198901 A198902 A198903 * A198905 A198906 A198907

Keyword

nonn

Author

R. H. Hardin Oct 31 2011

Status

approved