login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A234733 Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings). 1
2184, 6048, 14760, 45792, 127032, 423072, 1283880, 4481376, 14469624, 52195488, 176064360, 650582112, 2265751992, 8525288352, 30415487400, 116039804256, 421792852344, 1626492482208, 5999520374760, 23327294132832, 87053575664952 (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) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23).

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

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

CROSSREFS

Column 3 of A234738.

Sequence in context: A254424 A343777 A250628 * A067263 A206057 A130173

Adjacent sequences:  A234730 A234731 A234732 * A234734 A234735 A234736

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 4 19:10 EDT 2022. Contains 357239 sequences. (Running on oeis4.)