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!)
A207463 Number of n X 4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically. 2
9, 81, 271, 1307, 5369, 23645, 101233, 439063, 1893511, 8183735, 35331965, 152610763, 659074589, 2846603441, 12294305751, 53098868971, 229330454403, 990464516749, 4277755155395, 18475391521815, 79794234969705 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A207467.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -36*a(n-2) +84*a(n-3) -78*a(n-4) +26*a(n-5) +73*a(n-6) -265*a(n-7) +2209*a(n-8) -5829*a(n-9) +3375*a(n-10) +251*a(n-11) -117*a(n-12) -16643*a(n-13) -36823*a(n-14) +143237*a(n-15) +54901*a(n-16) -60997*a(n-17) -150479*a(n-18) +297239*a(n-19) +258172*a(n-20) -1573218*a(n-21) -2093803*a(n-22) +381335*a(n-23) +5018995*a(n-24) +4849153*a(n-25) -411771*a(n-26) -5472175*a(n-27) -5799032*a(n-28) -1965470*a(n-29) +1329443*a(n-30) +3307749*a(n-31) +2930682*a(n-32) +1635174*a(n-33) -292785*a(n-34) -1200175*a(n-35) -1111888*a(n-36) -432020*a(n-37) +60503*a(n-38) +216919*a(n-39) +166949*a(n-40) +69937*a(n-41) +10171*a(n-42) -12109*a(n-43) -9539*a(n-44) -3713*a(n-45) -286*a(n-46) +286*a(n-47) +144*a(n-48) +24*a(n-49).

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A207467.

Sequence in context: A267715 A207753 A207107 * A207914 A208040 A208029

Adjacent sequences:  A207460 A207461 A207462 * A207464 A207465 A207466

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 18 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 8 19:59 EST 2021. Contains 349596 sequences. (Running on oeis4.)