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!)
A185772 Number of (n+1)X3 0..2 arrays with no 2X2 subblock sum equal to any horizontal or vertical neighbor 2X2 subblock sum 1
558, 7074, 89118, 1151346, 14837270, 190416934, 2442333998, 31384892214, 403218559222, 5178525140438, 66503687019294, 854217043141534, 10971879636716262, 140921116729079306, 1809957986000195766 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A185777

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=4*a(n-1)+49*a(n-2)+314*a(n-3)+6877*a(n-4)+3940*a(n-5)-66775*a(n-6)-5562*a(n-7)-4516042*a(n-8)-952177*a(n-9)+71657458*a(n-10)-81683756*a(n-11)+184951931*a(n-12)+934817466*a(n-13)-7278405891*a(n-14)+7577729242*a(n-15)+5409797117*a(n-16)-86907135378*a(n-17)+309915243239*a(n-18)-296185695772*a(n-19)-351845219222*a(n-20)+2892493385309*a(n-21)-6776522538782*a(n-22)+7058806126978*a(n-23)+3072790754210*a(n-24)-36661888510776*a(n-25)+74529700974096*a(n-26)-99999386996272*a(n-27)+60088842944712*a(n-28)+103959616747112*a(n-29)-313028645104464*a(n-30)+647329684563024*a(n-31)-801957721699232*a(n-32)+462840922316896*a(n-33)+384543021771136*a(n-34)-1781626290831168*a(n-35)+2738855357159040*a(n-36)-2209303681856256*a(n-37)-37689070540032*a(n-38)+2062920284706816*a(n-39)-2596060047154176*a(n-40)+2000380200560640*a(n-41)+81405399085056*a(n-42)-821157072150528*a(n-43)-122931731054592*a(n-44)+539315323600896*a(n-45)-332725569454080*a(n-46)+150115209707520*a(n-47)-33022594252800*a(n-48)

EXAMPLE

Some solutions for 5X3

..0..0..1....0..0..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0

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

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

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

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

CROSSREFS

Sequence in context: A253160 A253478 A253483 * A186134 A050254 A139197

Adjacent sequences:  A185769 A185770 A185771 * A185773 A185774 A185775

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 03 2011

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 January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)