A276303 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2.

122, 250, 3437, 34865, 442001, 4988145, 59728757, 693817033, 8184858377, 95798120125, 1125757112093, 13202147428061, 154987529747569, 1818521601523949, 21343104642406881, 250459145656655937

Offset

1,1

Comments

Row 6 of A276299.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +78*a(n-2) +250*a(n-3) +558*a(n-4) -937*a(n-5) -4256*a(n-6) -7991*a(n-7) -3472*a(n-8) +31381*a(n-9) -11144*a(n-10) +42683*a(n-11) -198936*a(n-12) +231086*a(n-13) -131301*a(n-14) +70502*a(n-15) -27827*a(n-16) +159651*a(n-17) -217780*a(n-18) +120250*a(n-19) -55920*a(n-20) -17125*a(n-21) +26805*a(n-22) -25487*a(n-23) +30226*a(n-24) -15183*a(n-25) +5503*a(n-26) -1930*a(n-27) +371*a(n-28) -65*a(n-29) +8*a(n-30) for n>32

Example

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

Crossrefs

Cf. A276299.

Sequence in context: A158131 A004925 A369598 * A224598 A070955 A195856

Adjacent sequences: A276300 A276301 A276302 * A276304 A276305 A276306

Keyword

nonn

Author

R. H. Hardin, Aug 28 2016

Status

approved