VOOZH
about
URL: https://oeis.org/A204478
⇱ A204478 - OEIS
login
A204478
Number of (n+2)X5 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.
1
1157, 3147, 608, 1587, 2632, 9290, 34964, 124697, 471260, 1787757, 6755022, 25607122, 97087698, 368019431, 1395257904, 5289834511, 20055078524, 76034541226, 288268853192, 1092909563581, 4143534617092, 15709332458233
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,1
COMMENTS
Column 3 of
A204483
LINKS
R. H. Hardin,
Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13
EXAMPLE
Some solutions for n=3
..0..0..0..1..0....0..0..0..0..1....0..1..0..0..0....0..0..0..1..2
..1..0..0..0..2....2..2..2..0..2....0..1..0..0..2....1..1..1..1..1
..1..1..0..0..0....0..0..0..0..0....0..1..0..0..2....1..1..1..1..1
..1..1..1..0..0....0..0..0..0..0....0..0..0..0..2....2..2..2..2..2
..3..1..1..1..0....2..0..2..2..2....3..1..0..0..2....3..3..3..3..3
CROSSREFS
Sequence in context:
A264089
A264278
A217279
*
A031746
A219148
A031532
Adjacent sequences:
A204475
A204476
A204477
*
A204479
A204480
A204481
KEYWORD
nonn
AUTHOR
R. H. Hardin
, Jan 15 2012
STATUS
approved