A275562 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

12, 288, 672, 3192, 13104, 57600, 248520, 1075140, 4663710, 20186982, 87477240, 378971730, 1641701760, 7112729712, 30813640998, 133494984432, 578341554336, 2505543992028, 10854800690652, 47026263554508, 203732097403680

Offset

1,1

Comments

Column 5 of A275565.

Links

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

Formula

Empirical: a(n) = a(n-1) +22*a(n-2) +8*a(n-3) -191*a(n-4) -156*a(n-5) +917*a(n-6) +837*a(n-7) -2936*a(n-8) -2248*a(n-9) +6832*a(n-10) +3015*a(n-11) -11514*a(n-12) -1236*a(n-13) +14699*a(n-14) -2370*a(n-15) -15138*a(n-16) +4822*a(n-17) +12804*a(n-18) -4364*a(n-19) -8775*a(n-20) +2339*a(n-21) +4703*a(n-22) -715*a(n-23) -1892*a(n-24) +91*a(n-25) +563*a(n-26) +8*a(n-27) -120*a(n-28) -3*a(n-29) +16*a(n-30) -a(n-32) for n>34

Example

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

Crossrefs

Cf. A275565.

Sequence in context: A262733 A296736 A077424 * A275087 A267670 A159827

Adjacent sequences: A275559 A275560 A275561 * A275563 A275564 A275565

Keyword

nonn

Author

R. H. Hardin, Aug 01 2016

Status

approved