A235002 - OEIS

A235002

Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

294, 1946, 13848, 104338, 800688, 6225088, 48596088, 380432190, 2980801170, 23369409688, 183249583094, 1437119984688, 11270938778356, 88397245332936, 693299635008446, 5437579987973702, 42647257285126512, 334485326875261870

(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) = 7*a(n-1) +36*a(n-2) -213*a(n-3) -415*a(n-4) +2095*a(n-5) +1577*a(n-6) -7229*a(n-7) -788*a(n-8) +8094*a(n-9) -1429*a(n-10) -1794*a(n-11) +156*a(n-12).

EXAMPLE

Some solutions for n=4:

6 3 3 0 6 3 6 3 1 0 5 2 6 3 4 5 6 7 5 6

1 0 6 1 7 6 1 0 5 6 2 1 1 0 2 1 2 5 3 2

0 1 5 2 2 3 5 6 4 7 5 6 3 4 1 2 0 1 0 1

2 5 7 6 3 6 2 1 1 2 1 0 0 3 4 3 4 7 5 4

6 7 3 4 1 2 3 0 3 6 6 7 1 6 6 7 2 3 4 5

CROSSREFS

Column 1 of A235007.

Sequence in context: A235948 A250752 A235007 * A222798 A128965 A289345

Adjacent sequences: A234999 A235000 A235001 * A235003 A235004 A235005

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 02 2014

STATUS

approved