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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
1
762, 8664, 97232, 1100582, 12433311, 140520343, 1587933587, 17945023519, 202792213952, 2291710610115, 25898101189643, 292668628900524, 3307382282978585, 37375983213265800, 422377576820935092
OFFSET
1,1
COMMENTS
Column 1 of A253615
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 05 2015
STATUS
approved