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!)
A206124 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors 1
1906, 18572, 201498, 2501248, 31537842, 404927788, 5199505646, 66968651436, 861836697714, 11101629111114, 142926466293836, 1840902281438822, 23703520527126534, 305280169583709222, 3931041549988729138 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A206128

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) +99*a(n-2) -2851*a(n-3) +3657*a(n-4) +161429*a(n-5) -588636*a(n-6) -4592001*a(n-7) +25497741*a(n-8) +73074688*a(n-9) -616893797*a(n-10) -579173978*a(n-11) +9817751018*a(n-12) -1002107630*a(n-13) -110238728111*a(n-14) +86168423036*a(n-15) +901996821841*a(n-16) -1169647305993*a(n-17) -5439852726169*a(n-18) +9532433535059*a(n-19) +24119723339123*a(n-20) -54111908099277*a(n-21) -77111548020810*a(n-22) +226000732104523*a(n-23) +166611465557290*a(n-24) -714991174698819*a(n-25) -182248725002273*a(n-26) +1740313621867463*a(n-27) -200869669577109*a(n-28) -3267365539174953*a(n-29) +1387172111255212*a(n-30) +4661916810219511*a(n-31) -3343139049107565*a(n-32) -4825835982740902*a(n-33) +5172324677156235*a(n-34) +3141657581893966*a(n-35) -5580372291870994*a(n-36) -410185882725714*a(n-37) +4099154295497975*a(n-38) -1572994144690486*a(n-39) -1703490634078341*a(n-40) +1679842618147079*a(n-41) -77491891604157*a(n-42) -482591687459089*a(n-43) +543693094614237*a(n-44) -584226373932501*a(n-45) -145995944884740*a(n-46) +777036737581425*a(n-47) -300568266494665*a(n-48) -414022425658726*a(n-49) +401542935822782*a(n-50) +69587652023878*a(n-51) -260992657009376*a(n-52) +51880747802798*a(n-53) +105376767312974*a(n-54) -43397618138144*a(n-55) -26584479497688*a(n-56) +16084781489016*a(n-57) +3551864698888*a(n-58) -3446822630792*a(n-59) +24641620032*a(n-60) +395232816576*a(n-61) -101340772128*a(n-62) -6231073312*a(n-63) +19092186176*a(n-64) -4914748480*a(n-65) -1833136128*a(n-66) +741441792*a(n-67) +102109952*a(n-68) -55738880*a(n-69) -3059712*a(n-70) +2721792*a(n-71) -26624*a(n-72) -81920*a(n-73) +8192*a(n-74) for n>76

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A124628 A253364 A112947 * A251463 A184194 A209551

Adjacent sequences:  A206121 A206122 A206123 * A206125 A206126 A206127

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 04 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 May 19 05:04 EDT 2022. Contains 353826 sequences. (Running on oeis4.)