login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A255800 Number of (n+2) X (7+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. 1
2380, 600, 329, 384, 472, 270, 344, 452, 447, 692, 832, 478, 624, 828, 831, 1308, 1552, 894, 1184, 1580, 1599, 2540, 2992, 1726, 2304, 3084, 3135, 5004, 5872, 3390, 4544, 6092, 6207, 9932, 11632, 6718, 9024, 12108, 12351, 19788, 23152, 13374, 17984 (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) = 3*a(n-6) - 2*a(n-12) for n>15.

Empirical g.f.: x*(2380 + 600*x + 329*x^2 + 384*x^3 + 472*x^4 + 270*x^5 - 6796*x^6 - 1348*x^7 - 540*x^8 - 460*x^9 - 584*x^10 - 332*x^11 + 4352*x^12 + 672*x^13 + 148*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)). - Colin Barker, Dec 20 2018

EXAMPLE

Some solutions for n=4:

..0..0..1..1..0..0..1..0..1....0..1..1..0..0..1..0..1..1

..0..1..0..0..1..1..0..1..0....1..0..0..1..1..0..1..0..0

..1..0..1..0..1..0..1..0..1....0..1..0..1..0..1..0..1..0

..1..0..0..1..0..1..1..0..0....0..0..1..0..1..1..0..0..1

..0..0..1..0..1..0..0..1..1....0..1..0..1..0..0..1..1..0

..1..1..1..1..0..1..0..1..0....1..1..1..0..1..0..1..1..1

CROSSREFS

Column 7 of A255801.

Sequence in context: A226000 A163026 A069300 * A252469 A252420 A234818

Adjacent sequences:  A255797 A255798 A255799 * A255801 A255802 A255803

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 06 2015

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 02:42 EST 2021. Contains 341619 sequences. (Running on oeis4.)