login
A234170
Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).
1
448, 4536, 47936, 517104, 5630848, 61624416, 675750656, 7420655424, 81506779648, 895774029696, 9842817944576, 108194841049344, 1188960811214848, 13069954464677376, 143629781032349696, 1578903606956196864
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 154*a(n-2) - 4144*a(n-4) + 16176*a(n-6).
Empirical g.f.: 8*x*(56 + 567*x - 2632*x^2 - 22680*x^3 + 13152*x^4 + 98448*x^5) / (1 - 154*x^2 + 4144*x^4 - 16176*x^6). - Colin Barker, Oct 13 2018
EXAMPLE
Some solutions for n=3:
1 0 3 3 3 3 4 4 5 3 3 0 6 6 2 3 3 3 3 3
5 5 3 4 4 3 5 6 6 5 3 1 0 1 2 2 4 5 3 4
4 5 1 1 2 0 2 2 4 4 5 2 6 6 3 2 1 1 2 2
0 0 2 3 5 4 1 2 5 4 4 0 0 1 5 3 4 5 4 5
CROSSREFS
Column 1 of A234175.
Sequence in context: A234428 A234424 A234175 * A120104 A229378 A229370
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 20 2013
STATUS
approved