A253611 Number of (n+2)X(1+2) 0..2 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order

762, 8664, 97232, 1100582, 12433311, 140520343, 1587933587, 17945023519, 202792213952, 2291710610115, 25898101189643, 292668628900524, 3307382282978585, 37375983213265800, 422377576820935092

Offset

1,1

Comments

Column 1 of A253615

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +45*a(n-2) -184*a(n-3) -458*a(n-4) +1161*a(n-5) +1148*a(n-6) -1369*a(n-7) +3794*a(n-8) -2764*a(n-9) -55923*a(n-10) +7449*a(n-11) +208853*a(n-12) -98842*a(n-13) -23515*a(n-14) -853218*a(n-15) +1405774*a(n-16) -204020*a(n-17) -793726*a(n-18) +2392307*a(n-19) -3658864*a(n-20) +612572*a(n-21) +461558*a(n-22) -1884359*a(n-23) +3941388*a(n-24) +1134857*a(n-25) -2874383*a(n-26) +204350*a(n-27) +666534*a(n-28) -42988*a(n-29) -191134*a(n-30) -89650*a(n-31) +7276*a(n-32) -21568*a(n-33) +8124*a(n-34) -12728*a(n-35) -4896*a(n-36) -320*a(n-37) -512*a(n-38)

Example

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

Crossrefs

Sequence in context: A061225 A253615 A253616 * A326369 A210081 A083645

Adjacent sequences: A253608 A253609 A253610 * A253612 A253613 A253614

Keyword

nonn

Author

R. H. Hardin, Jan 05 2015

Status

approved