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!)
A219423 Unchanging value maps: number of 3 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 3 X n array. 1
1, 21, 93, 453, 2121, 9926, 46776, 220655, 1041073, 4909754, 23155430, 109215035, 515130861, 2429644852, 11459531527, 54049709552, 254929619681, 1202393496717, 5671171946685, 26748483522662, 126161124832462, 595047865009759 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A219421.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..94

FORMULA

Empirical: a(n) = 4*a(n-1) +a(n-2) +7*a(n-3) +36*a(n-4) -62*a(n-5) -78*a(n-6) +88*a(n-7) -121*a(n-8) -110*a(n-9) +325*a(n-10) -31*a(n-11) -175*a(n-12) +320*a(n-13) -17*a(n-14) -193*a(n-15) +107*a(n-16) -108*a(n-17) +7*a(n-18) +a(n-19) -46*a(n-20) +22*a(n-21) +10*a(n-22) +6*a(n-23) +8*a(n-24) for n>26.

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A219421.

Sequence in context: A144856 A065522 A218844 * A123213 A296822 A174084

Adjacent sequences:  A219420 A219421 A219422 * A219424 A219425 A219426

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2012

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 5 23:38 EST 2021. Contains 349558 sequences. (Running on oeis4.)