login
The OEIS is supported by the many generous donors to the OEIS 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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A207353 Number of nX3 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically 1
25, 625, 12468, 244134, 4752484, 92438519, 1799496100, 35036066712, 682243342430, 13285382401983, 258709556131828, 5037920703787458, 98104762268330333, 1910419706227476571, 37202099248377672015 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A207358

LINKS

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

FORMULA

Empirical: a(n) = 25*a(n-1) -51*a(n-2) -1449*a(n-3) +4497*a(n-4) +56080*a(n-5) -195326*a(n-6) -1092458*a(n-7) +3792966*a(n-8) +14909978*a(n-9) -46825819*a(n-10) -56152375*a(n-11) +266436042*a(n-12) +12699008*a(n-13) -903512455*a(n-14) +68308437*a(n-15) +2829180642*a(n-16) +31615026*a(n-17) -8360870820*a(n-18) +2894963886*a(n-19) +17815106543*a(n-20) -9225942481*a(n-21) -31018293245*a(n-22) +10847234792*a(n-23) +55730103228*a(n-24) -28827979155*a(n-25) -79354744925*a(n-26) +61335560568*a(n-27) +78792129575*a(n-28) -46870664050*a(n-29) -80119327238*a(n-30) +52702395760*a(n-31) +74040744475*a(n-32) -101289126740*a(n-33) -28552713320*a(n-34) +69913137070*a(n-35) -7705787663*a(n-36) -13281937110*a(n-37) +6536331914*a(n-38) -4000594404*a(n-39) -1669071040*a(n-40) +3633531679*a(n-41) -368116652*a(n-42) -525682843*a(n-43) +175019201*a(n-44) -35415944*a(n-45) -23068825*a(n-46) +38059786*a(n-47) -2122737*a(n-48) -4308110*a(n-49) +1225952*a(n-50) +223268*a(n-51) -98608*a(n-52) +45718*a(n-53) +2988*a(n-54) -1920*a(n-55) +1232*a(n-56) -272*a(n-57) +32*a(n-58)

EXAMPLE

Some solutions for n=4

..2..0..2....1..2..2....1..2..2....0..0..2....1..2..1....2..2..2....1..0..1

..1..1..1....0..0..1....2..1..2....0..0..2....1..1..1....2..0..0....2..0..2

..1..0..0....1..2..0....2..2..2....0..0..0....1..0..1....2..0..0....0..2..2

..1..2..2....1..2..1....2..1..1....2..2..0....0..1..0....2..2..2....2..0..2

CROSSREFS

Sequence in context: A068180 A206952 A206729 * A207984 A207196 A207216

Adjacent sequences: A207350 A207351 A207352 * A207354 A207355 A207356

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 17 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)