A229847 -id:A229847 - cp's OEIS frontend

A229841 Number of n X 2 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

3, 15, 81, 423, 2247, 11925, 63291, 335943, 1783137, 9464655, 50237151, 266652213, 1415355027, 7512519135, 39875467761, 211653760983, 1123430446167, 5963021689365, 31650938239371, 167999035324503, 891716879181057

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 2 of A229847.

			Some solutions for n=3:
..0..2....2..1....2..0....0..2....0..2....2..0....1..1....1..1....2..0....0..1
..2..0....0..1....0..0....1..1....2..1....2..0....0..1....2..2....1..1....2..1
..0..2....2..1....2..2....2..0....0..1....1..1....2..1....0..0....0..2....1..1

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

Cf. A229847.

Empirical: a(n) = 5*a(n-1) + 2*a(n-2) - a(n-3) - 5*a(n-4).

Empirical g.f.: 3*x*(1 - 3*x^3) / ((1 - x)*(1 - 4*x - 6*x^2 - 5*x^3)). - Colin Barker, Mar 17 2018

A229842 Number of nX3 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

3, 81, 987, 13401, 178311, 2381469, 31783299, 424240833, 5662582239, 75582071565, 1008840783171, 13465626160209, 179734091085543, 2399022766771749, 32021249796760479, 427407548197383945, 5704874525707845543

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 3 of A229847

			Some solutions for n=3
..2..0..1....1..1..1....1..2..0....2..0..2....1..2..2....2..2..0....1..1..0
..1..1..1....2..0..0....1..1..1....1..0..2....1..0..0....0..1..0....1..2..2
..2..0..1....0..2..2....1..0..2....1..1..0....1..2..2....1..1..2....2..0..2

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

Empirical: a(n) = 10*a(n-1) +44*a(n-2) +20*a(n-3) -122*a(n-4) -303*a(n-5) -129*a(n-6) +244*a(n-7) +526*a(n-8) -74*a(n-9) -220*a(n-10) -225*a(n-11) +96*a(n-12) +172*a(n-13) -50*a(n-14) +44*a(n-15)

A229843 Number of nX4 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

9, 423, 13401, 453837, 15269193, 514371027, 17324310663, 583513743897, 19653679602141, 661968066724119, 22296164158938861, 750971189107675233, 25293934916476773699, 851940997449956765547, 28694762814404871782187

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 4 of A229847

			Some solutions for n=3
..2..0..2..0....2..0..2..1....2..1..1..0....2..0..2..0....1..1..1..1
..2..2..2..2....1..0..0..1....0..0..2..2....0..0..2..1....2..0..2..0
..0..0..0..2....1..2..2..0....2..2..0..2....1..1..0..1....2..0..0..2

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

Empirical: a(n) = 28*a(n-1) +223*a(n-2) -810*a(n-3) -8714*a(n-4) -856*a(n-5) +147241*a(n-6) +236084*a(n-7) -1172242*a(n-8) -3528345*a(n-9) +678458*a(n-10) +16652175*a(n-11) +101500683*a(n-12) -128462366*a(n-13) -411090364*a(n-14) +905075331*a(n-15) -2603919959*a(n-16) +5803974821*a(n-17) -7111289023*a(n-18) +9684239810*a(n-19) -13438664953*a(n-20) +15373544589*a(n-21) -17181774335*a(n-22) +14938323369*a(n-23) -15592749244*a(n-24) +3820796842*a(n-25) +4237587780*a(n-26) -3292600679*a(n-27) +15021433542*a(n-28) -4461452087*a(n-29) -11101458512*a(n-30) +37414533509*a(n-31) -67227775904*a(n-32) +83523691644*a(n-33) -116673702936*a(n-34) +124723830770*a(n-35) -123437354031*a(n-36) +134526294777*a(n-37) -110378277541*a(n-38) +89122202017*a(n-39) -80590207954*a(n-40) +64320664361*a(n-41) -49928847307*a(n-42) +30705120692*a(n-43) -25484291913*a(n-44) +22612424455*a(n-45) -10724796799*a(n-46) +6043765216*a(n-47) -4421780238*a(n-48) +2556973448*a(n-49) -1102876952*a(n-50) +274132088*a(n-51) -116104448*a(n-52) -5874816*a(n-53)

A229844 Number of nX5 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

15, 2247, 178311, 15269193, 1296261759, 110203382331, 9366963651897, 796197119067381, 67676718934477599, 5752525261171518051, 488964895071793945731, 41562038669326401752469, 3532775185416959988138093

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 5 of A229847

			Some solutions for n=3
..0..2..2..0..1....0..2..2..2..2....0..2..1..1..1....1..1..2..0..1
..2..0..0..1..1....1..1..0..0..0....0..0..1..0..1....1..1..1..2..1
..0..1..1..1..1....2..0..2..0..2....2..0..1..2..1....2..0..1..0..1

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

A229845 Number of nX6 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

33, 11925, 2381469, 514371027, 110203382331, 23643209345079, 5071373978989773, 1087831682400037245, 233343097940265968895, 50052836990651965982781, 10736490824597247024029007, 2303011092556221535827632853

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 6 of A229847

			Some solutions for n=3
..1..0..1..1..1..1....2..0..1..1..0..2....0..0..0..2..1..1....1..0..2..2..0..0
..1..2..0..1..1..2....0..1..0..1..1..1....2..2..0..0..1..1....1..0..0..0..0..2
..2..0..0..2..1..0....2..1..2..1..0..2....0..0..2..2..0..1....1..2..0..0..2..0

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

A229846 Number of nX7 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

63, 63291, 31783299, 17324310663, 9366963651897, 5071373978989773, 2745117942652795617, 1485981308554100717397, 804382842721296064467525, 435424391066549741979527775, 235701650566916249474911785897

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Column 7 of A229847

			Some solutions for n=3
..0..0..2..0..2..1..1....0..0..2..1..2..0..2....0..0..2..0..2..0..1
..2..0..2..2..1..1..0....2..0..2..1..2..2..0....2..0..2..0..2..0..1
..0..0..2..0..1..1..2....0..0..2..1..0..0..2....0..0..2..0..2..0..1

R. H. Hardin, Table of n, a(n) for n = 1..18

A229840 Number of n X n 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

Original entry on oeis.org

0, 15, 987, 453837, 1296261759, 23643209345079, 2745117942652795617

Offset: 1

R. H. Hardin, Oct 01 2013

nonn

Diagonal of A229847

			Some solutions for n=3
..0..2..0....1..1..2....0..0..0....2..0..2....1..1..1....1..2..0....1..0..0
..1..0..0....1..1..0....2..2..2....1..1..2....0..2..1....1..0..2....1..2..2
..1..2..2....1..1..2....2..0..0....2..0..0....0..2..0....1..2..0....2..0..0

cp's OEIS Frontend

A229841 Number of n X 2 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229842 Number of nX3 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229843 Number of nX4 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229844 Number of nX5 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229845 Number of nX6 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229846 Number of nX7 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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A229840 Number of n X n 0..2 arrays x(i,j) with each element horizontally or vertically next to at least one element with value 2-x(i,j).

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