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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A209853 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having one or four distinct clockwise edge differences 1
1308, 43091, 1386131, 45071990, 1460712837, 47417927307, 1538049629157, 49909370504583, 1619185527207846, 52536780996401572, 1704519800332362929, 55303928598134584604, 1794326926238291896396, 58217253005717270646300 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A209858

LINKS

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

FORMULA

Empirical: a(n) = 20*a(n-1) +963*a(n-2) -12793*a(n-3) -312156*a(n-4) +3571443*a(n-5) +49605457*a(n-6) -553758368*a(n-7) -4457972689*a(n-8) +52612881372*a(n-9) +243417930360*a(n-10) -3275949406092*a(n-11) -8240107440663*a(n-12) +140666492498369*a(n-13) +160116943902217*a(n-14) -4326535316148209*a(n-15) -817021352845345*a(n-16) +98006065095893985*a(n-17) -49203318829660909*a(n-18) -1668148030882549725*a(n-19) +1723999493198171149*a(n-20) +21637008392085651838*a(n-21) -31773088576337392703*a(n-22) -215843167651091106385*a(n-23) +399719679271900244237*a(n-24) +1664018938648323383901*a(n-25) -3697329744805424755681*a(n-26) -9917310558011937270066*a(n-27) +25982170466786070131093*a(n-28) +45447978346529331965091*a(n-29) -141117691880001505315599*a(n-30) -157856587989686977889953*a(n-31) +598069670716001721149653*a(n-32) +401968717089020637279250*a(n-33) -1987776050324662023234413*a(n-34) -686660571916972008322547*a(n-35) +5191091867684820767344742*a(n-36) +522733262632635990820808*a(n-37) -10646069432263823711177799*a(n-38) +915809068137700417207761*a(n-39) +17098571599529269338686083*a(n-40) -3943750897982196417975435*a(n-41) -21398685175106614262349856*a(n-42) +7368362612864864601239602*a(n-43) +20709879068969481472447106*a(n-44) -9015916934517168198203128*a(n-45) -15335247867307455505750474*a(n-46) +7824208837288323351242620*a(n-47) +8561662593050307213736807*a(n-48) -4920492104705864543228925*a(n-49) -3532336472390984912564596*a(n-50) +2242642650064493959464073*a(n-51) +1047216070797663839803065*a(n-52) -731775898101400159982255*a(n-53) -214107873494035007863503*a(n-54) +167132111313457973560540*a(n-55) +28238564794974400827975*a(n-56) -25825554003258952415666*a(n-57) -2098980376078516736024*a(n-58) +2571400424053876584470*a(n-59) +52829982196209769868*a(n-60) -153859888970921746848*a(n-61) +2954600261893327248*a(n-62) +4977837135363185688*a(n-63) -211003278535383648*a(n-64) -72160266595102240*a(n-65) +3672896320734208*a(n-66) +335148663461120*a(n-67) -16066999343104*a(n-68)

EXAMPLE

Some solutions for n=4

..1..0..0..0....0..3..3..0....1..3..3..3....0..0..1..0....1..1..2..0

..0..3..1..3....1..0..1..3....1..0..1..0....0..0..3..3....0..3..1..2

..1..0..1..0....3..1..3..2....3..3..1..3....3..1..3..3....1..0..3..1

..1..3..3..1....0..1..0..0....1..0..3..0....1..0..2..0....0..3..1..0

..1..0..1..2....0..3..3..1....0..2..2..2....1..3..0..3....1..3..0..2

CROSSREFS

Sequence in context: A325605 A281211 A233975 * A165936 A242606 A066509

Adjacent sequences:  A209850 A209851 A209852 * A209854 A209855 A209856

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 14 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 9 19:51 EST 2019. Contains 329879 sequences. (Running on oeis4.)