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!)
A303317 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
16, 9, 19, 74, 139, 410, 1799, 5907, 16494, 53290, 184915, 593160, 1846238, 5986532, 19644799, 63120477, 201894029, 652765881, 2113653016, 6806905917, 21913260238, 70736938785, 228339832475, 736091706666, 2373144545904, 7656031069031 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A303314.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-2) +11*a(n-3) +21*a(n-4) -13*a(n-5) +5*a(n-6) -37*a(n-7) -34*a(n-8) +4*a(n-9) -20*a(n-10) +18*a(n-11) -7*a(n-12) for n>16

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303314.

Sequence in context: A070688 A281719 A103167 * A154615 A040242 A306378

Adjacent sequences:  A303314 A303315 A303316 * A303318 A303319 A303320

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 21 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 10 14:50 EDT 2020. Contains 336381 sequences. (Running on oeis4.)