A269280 Number of 5Xn 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three exactly once.

0, 236196, 36673560, 4684312584, 542973139128, 59587625651904, 6310088238337128, 651615466055490216, 66042694681962193944, 6597498728751383594736, 651529527626284234223688

Offset

1,2

Comments

Row 5 of A269276.

Links

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

Formula

Empirical: a(n) = 262*a(n-1) -25913*a(n-2) +1271424*a(n-3) -36373480*a(n-4) +662028380*a(n-5) -8018113210*a(n-6) +65608158980*a(n-7) -356568260410*a(n-8) +1185405035940*a(n-9) -1609856308508*a(n-10) -4162483461884*a(n-11) +23709461283851*a(n-12) -40474763971218*a(n-13) +272846513475*a(n-14) +106799477038956*a(n-15) -171480164894532*a(n-16) +115612142099328*a(n-17) -29562621871104*a(n-18) for n>23

Example

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

Crossrefs

Cf. A269276.

Sequence in context: A254264 A254257 A254303 * A092009 A160920 A235105

Adjacent sequences: A269277 A269278 A269279 * A269281 A269282 A269283

Keyword

nonn

Author

R. H. Hardin, Feb 21 2016

Status

approved