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A234076 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10. 1
96, 476, 2352, 12152, 63136, 335536, 1789760, 9652704, 52158592, 283301056, 1540148480, 8392758144, 45753840128, 249698446080, 1362969777152, 7443314916864, 40652158732288, 222072701455360, 1213174885371904 (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) = 4*a(n-1) + 22*a(n-2) - 56*a(n-3) - 120*a(n-4) + 32*a(n-5) + 64*a(n-6).

Empirical g.f.: 4*x*(24 + 23*x - 416*x^2 - 588*x^3 + 240*x^4 + 352*x^5) / ((1 - 4*x - 8*x^2)*(1 - 14*x^2 + 8*x^4)). - Colin Barker, Oct 12 2018

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 1 of A234083.

Sequence in context: A233717 A233710 A234083 * A216372 A183684 A251167

Adjacent sequences:  A234073 A234074 A234075 * A234077 A234078 A234079

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified November 14 10:19 EST 2019. Contains 329111 sequences. (Running on oeis4.)