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A234975 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 8. 1
182, 1664, 14420, 127982, 1127550, 9962574, 87941706, 776556490, 6856434758, 60540092874, 534541037814, 4719777004110, 41673602284166, 367960260263026, 3248932448319154, 28686692988827766, 253291301375224138 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) + 13*a(n-2) - 134*a(n-3) + a(n-4) + 480*a(n-5) - 224*a(n-6) - 96*a(n-7).

Empirical g.f.: 2*x*(91 + 13*x - 1461*x^2 + 479*x^3 + 5523*x^4 - 2943*x^5 - 1197*x^6) / (1 - 9*x - 13*x^2 + 134*x^3 - x^4 - 480*x^5 + 224*x^6 + 96*x^7). - Colin Barker, Oct 16 2018

EXAMPLE

Some solutions for n=4:

..4..1....4..3....0..4....4..1....4..1....0..1....4..0....1..3....2..0....3..0

..4..0....1..4....0..4....2..3....0..0....1..4....0..0....2..0....2..4....4..0

..4..0....0..1....1..3....0..4....2..4....0..3....4..3....3..4....0..1....4..1

..3..0....1..4....3..1....1..3....0..4....4..4....2..0....3..0....4..1....4..0

..2..3....0..3....1..3....4..2....1..1....2..0....4..1....4..0....3..0....3..1

CROSSREFS

Column 1 of A234982.

Sequence in context: A157205 A154067 A234982 * A186125 A209852 A321637

Adjacent sequences:  A234972 A234973 A234974 * A234976 A234977 A234978

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 02 2014

STATUS

approved

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Last modified July 23 12:19 EDT 2021. Contains 346259 sequences. (Running on oeis4.)