login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A205914 Number of (n+1) X 6 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors. 1
43155, 387267, 8986929, 231526056, 6011669886, 157611325827, 4140502079766, 109077858375072, 2875376462502051, 75869626381275306, 2002323261874373574, 52863137289825399351, 1395740977514471843850, 36856545167116354878438 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A205917.

LINKS

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

FORMULA

Empirical: a(n) = 51*a(n-1) -220*a(n-2) -26613*a(n-3) +385793*a(n-4) +3966677*a(n-5) -107594716*a(n-6) -1764174*a(n-7) +13737948098*a(n-8) -59904300861*a(n-9) -945499501910*a(n-10) +7532890556626*a(n-11) +34036037467109*a(n-12) -483503803795179*a(n-13) -287399169380636*a(n-14) +19208686313805260*a(n-15) -31014391805279504*a(n-16) -499708888648932378*a(n-17) +1687440884425676900*a(n-18) +8473831117137130587*a(n-19) -46521190200544743619*a(n-20) -83932777612327141625*a(n-21) +838621045031163889130*a(n-22) +162003153071486913996*a(n-23) -10625012043160376904802*a(n-24) +9068559094425874926511*a(n-25) +97412994233937771904474*a(n-26) -164988569242670809089396*a(n-27) -652954551126127893727469*a(n-28) +1657453322091034342251579*a(n-29) +3186363825366905648449728*a(n-30) -11558934900478075650609932*a(n-31) -11054231185973988831304823*a(n-32) +60363281060577622377646173*a(n-33) +25490141074232881803956300*a(n-34) -246951920603661161262267084*a(n-35) -30704530368490807929855878*a(n-36) +823080244487646440975204788*a(n-37) -14003244559787204286367242*a(n-38) -2320954765321237000844066510*a(n-39) +116248062578130630961718152*a(n-40) +5700074934576568486595489760*a(n-41) -129531497989581345816655032*a(n-42) -12297688508209609811315958560*a(n-43) -263486652296478292568110464*a(n-44) +23014916028840614055820831784*a(n-45) +1444772920671884715410478616*a(n-46) -36610871493903765869360516200*a(n-47) -3945134078183900399841816720*a(n-48) +48852167102382682768581237104*a(n-49) +8324907585537138798073191200*a(n-50) -54660515299777754951364109152*a(n-51) -13835241352700394468360430848*a(n-52) +51673227846348672241630435520*a(n-53) +17414003497965224999102974080*a(n-54) -41338327632770683799619472256*a(n-55) -16151973485534205327849197312*a(n-56) +27468603593961439324773448960*a(n-57) +10889485556439605628333914624*a(n-58) -14552605518666258956539531776*a(n-59) -5297233732457142901915111424*a(n-60) +5823287987387390633069251584*a(n-61) +1848460273867707909793689600*a(n-62) -1655679005190311948690972672*a(n-63) -457101270139880573625434112*a(n-64) +310487540452345474972368896*a(n-65) +77032322544893860473733120*a(n-66) -34352412278569223764705280*a(n-67) -7933704272021624509956096*a(n-68) +1827770004397232061677568*a(n-69) +380786542947550189584384*a(n-70) -32907943410232794808320*a(n-71) -4253106714747108065280*a(n-72) +348363749097839001600*a(n-73) -3115169354933600256*a(n-74) for n>80.

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Sequence in context: A236984 A008850 A205733 * A205906 A134450 A141085

Adjacent sequences:  A205911 A205912 A205913 * A205915 A205916 A205917

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 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 September 27 02:49 EDT 2020. Contains 337380 sequences. (Running on oeis4.)