A274892 Number of n X 5 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2.

8, 108, 86, 290, 913, 3017, 9863, 32539, 107369, 354366, 1171235, 3869271, 12787884, 42266197, 139689475, 461723614, 1526118256, 5044271535, 16673106905, 55109948877, 182157291955, 602093030588, 1990121537282, 6578044463591

Offset

1,1

Comments

Column 5 of A274895.

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>34.

Example

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

Crossrefs

Cf. A274895.

Sequence in context: A027013 A365818 A239985 * A105261 A187288 A275134

Adjacent sequences: A274889 A274890 A274891 * A274893 A274894 A274895

Keyword

nonn

Author

R. H. Hardin, Jul 10 2016

Status

approved