A275087 Number of nX5 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

12, 288, 1680, 12816, 87924, 647648, 4706400, 34281472, 248629316, 1807849760, 13148091944, 95586744116, 694768673948, 5050803706792, 36719738878324, 266942014046252, 1940565298670908, 14107383564812316, 102557258518158564

Offset

1,1

Comments

Column 5 of A275090.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +15*a(n-2) +101*a(n-3) +450*a(n-4) +587*a(n-5) -948*a(n-6) -6010*a(n-7) -692*a(n-8) +18832*a(n-9) -31839*a(n-10) +1958*a(n-11) +58620*a(n-12) -170990*a(n-13) +243302*a(n-14) -278201*a(n-15) +182523*a(n-16) +57164*a(n-17) -121679*a(n-18) +9439*a(n-19) +37154*a(n-20) +841*a(n-21) -863*a(n-22) +182*a(n-23) +60*a(n-24) -6*a(n-25) -2*a(n-26) +a(n-27) for n>28

Example

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

Crossrefs

Cf. A275090.

Sequence in context: A296736 A077424 A275562 * A267670 A159827 A192191

Adjacent sequences: A275084 A275085 A275086 * A275088 A275089 A275090

Keyword

nonn

Author

R. H. Hardin, Jul 16 2016

Status

approved