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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A282556 Number of nX4 0..1 arrays with no 1 equal to more than two of its king-move neighbors, with the exception of exactly one element. 1
0, 36, 618, 6284, 73140, 766472, 7774180, 77796496, 762302160, 7378886108, 70685503542, 671138516516, 6326727994922, 59273960871188, 552390880671856, 5124280101956484, 47344145084965492, 435863812736016840 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A282560.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 14*a(n-1) -17*a(n-2) -190*a(n-3) -1006*a(n-4) +3164*a(n-5) +7125*a(n-6) +5766*a(n-7) -66778*a(n-8) +34886*a(n-9) +25834*a(n-10) -85288*a(n-11) +31315*a(n-12) -51976*a(n-13) -9686*a(n-14) +30964*a(n-15) -43541*a(n-16) +5466*a(n-17) -6977*a(n-18) +1458*a(n-19) +7732*a(n-20) -372*a(n-21) -343*a(n-22) -394*a(n-23) -104*a(n-24) +50*a(n-25) +4*a(n-27) -a(n-28)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A282560.

Sequence in context: A323974 A126926 A163720 * A129839 A342900 A160316

Adjacent sequences:  A282553 A282554 A282555 * A282557 A282558 A282559

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 18 2017

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 December 6 09:38 EST 2021. Contains 349563 sequences. (Running on oeis4.)