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!)
A302280 Number of 3 X n 0..1 arrays with every element equal to 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 2
0, 10, 22, 29, 74, 162, 363, 782, 1766, 3953, 8784, 19606, 43887, 98136, 219234, 490655, 1098086, 2457684, 5502261, 12323540, 27604374, 61847407, 138600898, 310664178, 696450255, 1561597724, 3502013800, 7854708637, 17619975144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 3 of A302278.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +4*a(n-3) -7*a(n-4) -17*a(n-5) +29*a(n-6) -5*a(n-7) +24*a(n-8) +6*a(n-9) -75*a(n-10) +27*a(n-11) +16*a(n-12) +7*a(n-13) -8*a(n-14) -6*a(n-15) +6*a(n-16) for n>18

EXAMPLE

Some solutions for n=5:

  0 0 1 0 0     0 0 0 1 0     0 0 1 0 0     0 1 0 1 0

  1 1 0 1 1     0 1 0 0 1     0 1 1 1 0     0 0 1 0 1

  1 0 1 0 1     1 1 0 1 1     1 0 1 0 1     0 1 1 1 1

CROSSREFS

Cf. A302278.

Sequence in context: A303746 A303747 A007366 * A350627 A109958 A053361

Adjacent sequences:  A302277 A302278 A302279 * A302281 A302282 A302283

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 04 2018

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 September 29 22:48 EDT 2022. Contains 357092 sequences. (Running on oeis4.)