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!)
A203834 Number of (n+1)X8 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements 1

%I

%S 703125,102368025,16363800045,2710984443345,455911325162757,

%T 77176081545485769,13102412661293146461,2227336934732831112705,

%U 378855914806064843998965,64457851287783959073904761

%N Number of (n+1)X8 0..2 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements

%C Column 7 of A203835

%H R. H. Hardin, <a href="/A203834/b203834.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 321*a(n-1) -30800*a(n-2) +646412*a(n-3) +57495384*a(n-4) -3528677216*a(n-5) +48840455680*a(n-6) +1293892771200*a(n-7) -46168359802496*a(n-8) +153554511877632*a(n-9) +11732788319380992*a(n-10) -149783634302650368*a(n-11) -931190086396592128*a(n-12) +29404198495960715264*a(n-13) -73147591332793507840*a(n-14) -2572222703124047740928*a(n-15) +19123948984870878904320*a(n-16) +92710411783957869887488*a(n-17) -1483295392127718275678208*a(n-18) +924867485862186465099776*a(n-19) +56882434368973583131082752*a(n-20) -199587779401797560325636096*a(n-21) -1081950148339617110113124352*a(n-22) +7369255550528822850694938624*a(n-23) +5634649025352042522620198912*a(n-24) -135393722015600803494154469376*a(n-25) +160930590951530186280345272320*a(n-26) +1359078021667038709786829914112*a(n-27) -3593767512317326047548465479680*a(n-28) -6780744462767436322379919261696*a(n-29) +33631723566629021375379911213056*a(n-30) +4382864697797727461600474955776*a(n-31) -172892976142818521449511776157696*a(n-32) +133837479870175409501771210424320*a(n-33) +499754073311055081171809317421056*a(n-34) -752369413021864126247577159991296*a(n-35) -720913979854196522116003139682304*a(n-36) +1941189765328453870672793464471552*a(n-37) +146805373019422291201604165042176*a(n-38) -2708469432199470262222909958258688*a(n-39) +1044091152314328966537324611502080*a(n-40) +1999110104833115118742392008605696*a(n-41) -1480775091171665406901808151920640*a(n-42) -643245573018942475967014125961216*a(n-43) +849911593718214284698529596178432*a(n-44) -5842702324417519538385813766144*a(n-45) -222422986108668574300165810159616*a(n-46) +49319957379184410602588178743296*a(n-47) +22937100123360726125626947272704*a(n-48) -9343401762268071580284961685504*a(n-49) -119551921881909273136556146688*a(n-50) +463472043935122372701261398016*a(n-51) -63202702506904970433543536640*a(n-52) +1968883131115050477690028032*a(n-53) +24175560301554771538477056*a(n-54)

%e Some solutions for n=4

%e ..0..1..1..1..0..1..0..1....2..1..2..1..2..2..1..2....0..2..0..2..1..0..1..2

%e ..1..1..0..1..1..1..1..1....1..1..1..2..1..2..2..2....0..0..1..0..2..1..2..1

%e ..0..1..1..0..1..0..1..1....2..1..1..1..1..1..2..0....0..2..0..2..0..2..0..2

%e ..0..0..1..1..2..1..1..2....0..2..1..1..0..1..1..2....2..1..2..2..2..0..1..0

%e ..2..0..0..1..1..1..2..1....1..0..2..1..1..0..1..1....0..2..2..2..0..1..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 06 2012

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 August 8 18:58 EDT 2022. Contains 356016 sequences. (Running on oeis4.)