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A205426 Number of (n+1) X 4 0..3 arrays with the number of equal 2 X 2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..3 introduced in row major order. 1
870, 29022, 1093244, 40007284, 1514539540, 55445403092, 2098930772556, 76841262200636, 2908798092956244, 106493580023151652, 4031150148001496108, 147588444595292151484, 5586558915888288059252, 204541422493382617854660 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A205431.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +1437*a(n-2) -1436*a(n-3) -73559*a(n-4) +137575*a(n-5) +1288600*a(n-6) -3105933*a(n-7) -2093681*a(n-8) +2368404*a(n-9) -65489997*a(n-10) +236894949*a(n-11) +346457313*a(n-12) -1484643168*a(n-13) -128120832*a(n-14) +2924517312*a(n-15) -2128639824*a(n-16) +1119744*a(n-17) +2855067264*a(n-18) -4073488704*a(n-19) +1273568832*a(n-20) +272097792*a(n-21) for n>22.

EXAMPLE

Some solutions for n=4:

..0..0..0..0....0..0..0..0....0..1..0..2....0..0..1..0....0..0..1..1

..0..0..1..2....0..1..1..0....2..1..1..2....0..1..0..3....1..0..1..0

..2..0..1..1....1..0..1..2....2..2..2..3....3..1..1..1....1..0..0..1

..1..1..2..2....1..1..0..1....1..3..2..0....1..3..2..1....3..1..1..1

..3..1..3..2....0..0..2..1....3..3..0..2....1..2..3..3....1..3..1..1

CROSSREFS

Sequence in context: A283449 A158669 A206172 * A035855 A317806 A031783

Adjacent sequences:  A205423 A205424 A205425 * A205427 A205428 A205429

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2012

STATUS

approved

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Last modified December 6 19:30 EST 2021. Contains 349567 sequences. (Running on oeis4.)