The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A209711 1/4 the number of (n+1)X4 0..3 arrays with every 2X2 subblock having distinct clockwise edge differences 1
1241, 40600, 1277340, 40731729, 1293734407, 41170011836, 1308905451923, 41634764453267, 1323986099952192, 42109275322473077, 1339166789310809335, 42590485464466221295, 1354499017164946512850, 43077595330733889824289 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A209716
LINKS
FORMULA
Empirical: a(n) = 15*a(n-1) +1008*a(n-2) -7876*a(n-3) -328904*a(n-4) +1926537*a(n-5) +52684864*a(n-6) -273951748*a(n-7) -4866393539*a(n-8) +24240653273*a(n-9) +284467521073*a(n-10) -1401913368926*a(n-11) -11199860935130*a(n-12) +55383623152305*a(n-13) +310221810205502*a(n-14) -1550263153851120*a(n-15) -6235493002893665*a(n-16) +31634306714134207*a(n-17) +92998581142818874*a(n-18) -480833347610958673*a(n-19) -1045915789998724699*a(n-20) +5532194062321947358*a(n-21) +8975769923693909839*a(n-22) -48756799709225176849*a(n-23) -59299615298869844599*a(n-24) +332041426928348290121*a(n-25) +303700687565429488003*a(n-26) -1758256324787498237829*a(n-27) -1212811908997938780012*a(n-28) +7270465412741619864800*a(n-29) +3797566692114290775489*a(n-30) -23537814548092748856931*a(n-31) -9379511582307506472416*a(n-32) +59726661084682197089538*a(n-33) +18401973290976709236198*a(n-34) -118737454342588779056334*a(n-35) -28914958687246461124391*a(n-36) +184561198236942732186820*a(n-37) +36699265124914024312999*a(n-38) -223429523113044656251384*a(n-39) -37861805098615603112860*a(n-40) +209387912188279839779389*a(n-41) +31751887956162117388848*a(n-42) -150583340090115952826545*a(n-43) -21431798119336812426970*a(n-44) +82105995000110413699734*a(n-45) +11401867924374467330034*a(n-46) -33394113408712074250948*a(n-47) -4638404024514496142694*a(n-48) +9913173513982954582346*a(n-49) +1389760315203109342656*a(n-50) -2086440149254353119856*a(n-51) -293279980685597445408*a(n-52) +299468489710238488568*a(n-53) +41250131799294016000*a(n-54) -27806351608888814224*a(n-55) -3591128372719351552*a(n-56) +1556040144706074432*a(n-57) +173746695509329664*a(n-58) -48068935504144192*a(n-59) -3984150632877312*a(n-60) +742241025193984*a(n-61) +34721251272704*a(n-62) -4259930669056*a(n-63) -57036898304*a(n-64)
EXAMPLE
Some solutions for n=4
..3..1..0..1....1..0..0..0....0..3..2..2....0..0..3..2....2..0..2..2
..0..0..2..3....0..3..1..3....1..3..0..3....3..1..1..3....1..2..3..0
..2..3..3..0....1..0..1..0....3..2..0..1....0..3..0..0....2..0..1..3
..0..1..0..1....1..3..3..1....3..0..1..3....0..1..1..3....2..3..0..0
..2..3..1..3....1..0..1..2....2..2..3..2....2..0..3..2....0..1..1..3
CROSSREFS
Sequence in context: A010081 A028514 A099178 * A228964 A047628 A181073
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 11 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 June 12 00:32 EDT 2024. Contains 373320 sequences. (Running on oeis4.)