login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A302082 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 1
4, 13, 33, 70, 154, 433, 1166, 3153, 8468, 22750, 61199, 165177, 445570, 1201785, 3241825, 8746118, 23596920, 63667249, 171782178, 463490985, 1250567970, 3374237398, 9104258583, 24564843989, 66280181642, 178835414969, 482529064189 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A302081.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-3) -2*a(n-4) -3*a(n-5) +5*a(n-6) -18*a(n-7) -a(n-8) +13*a(n-9) +18*a(n-10) -9*a(n-11) -13*a(n-12) +38*a(n-13) +13*a(n-14) -9*a(n-15) -18*a(n-16) +13*a(n-17) +a(n-18) -18*a(n-19) -5*a(n-20) -3*a(n-21) +2*a(n-22) -a(n-23) +3*a(n-25) +a(n-26) for n>27

EXAMPLE

Some solutions for n=5

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

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

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

CROSSREFS

Cf. A302081.

Sequence in context: A036420 A266094 A054039 * A124669 A036894 A227122

Adjacent sequences:  A302079 A302080 A302081 * A302083 A302084 A302085

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 31 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 June 19 17:38 EDT 2019. Contains 324222 sequences. (Running on oeis4.)