A275501 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2.

41, 1944, 2000, 3168, 4180, 13384, 43780, 143784, 470352, 1549756, 5114352, 16851668, 55718276, 183999596, 607959912, 2009783684, 6640967048, 21951863104, 72556631720, 239811612380, 792682822452, 2620034132264, 8660100023060

Offset

1,1

Comments

Column 5 of A275504.

Links

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-2) -120*a(n-4) -55*a(n-5) +549*a(n-6) +319*a(n-7) -1772*a(n-8) -891*a(n-9) +4300*a(n-10) +1407*a(n-11) -7992*a(n-12) -1155*a(n-13) +11470*a(n-14) +a(n-15) -12854*a(n-16) +1155*a(n-17) +11372*a(n-18) -1407*a(n-19) -7960*a(n-20) +891*a(n-21) +4357*a(n-22) -320*a(n-23) -1820*a(n-24) +55*a(n-25) +560*a(n-26) -120*a(n-28) -a(n-29) +16*a(n-30) -a(n-32) for n>36

Example

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

Crossrefs

Cf. A275504.

Sequence in context: A233070 A267267 A049676 * A275398 A275263 A080178

Adjacent sequences: A275498 A275499 A275500 * A275502 A275503 A275504

Keyword

nonn

Author

R. H. Hardin, Jul 30 2016

Status

approved