A209956 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having one, three or four distinct clockwise edge differences

36057, 5569307, 856216289, 131724081683, 20262771645033, 3117032354510683, 479493044479186433, 73760462168440328563, 11346578094817698854441, 1745445119872774497413403, 268501978374785069024344929

Offset

1,1

Comments

Column 4 of A209960

Links

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

Formula

Empirical: a(n) = 188*a(n-1) -2606*a(n-2) -449432*a(n-3) +4278439*a(n-4) +344696470*a(n-5) -1695340318*a(n-6) -106831277262*a(n-7) +260315668742*a(n-8) +14665133182628*a(n-9) -32541316090784*a(n-10) -1037044125842224*a(n-11) +3010738321041520*a(n-12) +39283976226587808*a(n-13) -157080544206380960*a(n-14) -734266820477791744*a(n-15) +4221150804291177792*a(n-16) +4462953823466462848*a(n-17) -55438390445568782720*a(n-18) +33810272263704976640*a(n-19) +347725953909047112192*a(n-20) -562768188874634440704*a(n-21) -933791709840933227520*a(n-22) +2653805933866673033216*a(n-23) +418755395615456186368*a(n-24) -5521527001945241739264*a(n-25) +2418407310629868339200*a(n-26) +5278645092513311916032*a(n-27) -4226822592850201149440*a(n-28) -2085348951772738617344*a(n-29) +2615796490878429691904*a(n-30) +190791165053952327680*a(n-31) -696828367550619320320*a(n-32) +49927158958133346304*a(n-33) +76557678286106263552*a(n-34) -6934923112613937152*a(n-35) -2692851001743900672*a(n-36)

Example

Some solutions for n=4
..2..2..0..0..1....0..0..2..0..0....0..1..2..2..0....0..0..0..1..2
..1..2..0..1..1....0..2..1..0..1....0..0..2..0..0....1..0..2..1..0
..1..2..2..0..0....1..1..1..1..1....2..0..1..0..0....2..2..1..1..2
..0..2..2..0..0....2..1..0..1..1....0..0..2..2..2....2..2..1..2..0
..1..0..1..1..2....0..0..2..0..0....0..0..2..0..0....1..2..1..0..1

Crossrefs

Sequence in context: A034605 A031827 A097694 * A256365 A011766 A138556

Adjacent sequences: A209953 A209954 A209955 * A209957 A209958 A209959

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved