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A234879 Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1
512, 1188, 2096, 6364, 12208, 44348, 87312, 354132, 703104, 3038716, 6051952, 27075444, 53993296, 245985516, 490821440, 2257240564, 4505154032, 20819580220, 41558674736, 192537441668, 384356619712, 1783019060604, 3559512651120 (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) = a(n-1) +34*a(n-2) -34*a(n-3) -490*a(n-4) +490*a(n-5) +3953*a(n-6) -3953*a(n-7) -19806*a(n-8) +19806*a(n-9) +64568*a(n-10) -64568*a(n-11) -139460*a(n-12) +139460*a(n-13) +199324*a(n-14) -199324*a(n-15) -184736*a(n-16) +184736*a(n-17) +105888*a(n-18) -105888*a(n-19) -33888*a(n-20) +33888*a(n-21) +4608*a(n-22) -4608*a(n-23).

EXAMPLE

Some solutions for n=4:

  3 4 1 4 3 4    2 3 2 3 2 3    2 3 2 4 2 4    4 2 4 2 4 2

  0 2 0 2 0 2    0 2 0 2 0 2    0 2 0 1 0 1    1 0 1 0 1 0

  3 4 1 4 1 4    1 4 1 4 3 4    2 3 2 4 2 4    4 2 4 2 4 2

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

  3 4 1 4 1 4    3 4 3 4 3 4    1 4 1 3 1 3    4 2 4 2 4 2

CROSSREFS

Column 5 of A234882.

Sequence in context: A341886 A045058 A220017 * A202454 A230543 A224651

Adjacent sequences:  A234876 A234877 A234878 * A234880 A234881 A234882

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved

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Last modified August 11 09:29 EDT 2022. Contains 356065 sequences. (Running on oeis4.)