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A234124 Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. 1
91, 469, 2413, 12457, 64441, 333883, 1731979, 8992639, 46723771, 242899381, 1263281581, 6572316673, 34201861129, 178020202699, 926739961723, 4825035300439, 25123800838123, 130828761714565, 681313452720301 (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) = 10*a(n-1) - 24*a(n-2) - 18*a(n-3) + 57*a(n-4) + 54*a(n-5) + 12*a(n-6).

Empirical g.f.: x*(91 - 441*x - 93*x^2 + 1221*x^3 + 1038*x^4 + 228*x^5) / (1 - 10*x + 24*x^2 + 18*x^3 - 57*x^4 - 54*x^5 - 12*x^6). - Colin Barker, Oct 12 2018

EXAMPLE

Some solutions for n=5:

..3..3....4..5....1..0....1..0....2..2....5..5....6..5....1..1....2..3....3..2

..3..2....4..5....1..0....1..1....2..3....5..4....5..5....1..1....3..2....2..3

..3..3....4..4....0..0....2..2....3..3....5..4....4..4....2..2....3..2....2..2

..2..2....5..5....0..1....2..3....4..4....4..5....4..3....1..2....3..2....1..2

..2..3....5..4....0..1....3..3....3..3....4..4....4..4....2..2....3..2....2..2

..2..3....4..5....1..1....3..4....4..4....4..3....4..3....3..2....3..2....1..1

CROSSREFS

Column 1 of A234131.

Sequence in context: A273799 A063137 A234131 * A180942 A211447 A188360

Adjacent sequences:  A234121 A234122 A234123 * A234125 A234126 A234127

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified June 13 11:44 EDT 2021. Contains 344992 sequences. (Running on oeis4.)