A205359 Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order.

12290, 296774, 7690946, 216561893, 6379775618, 194089073306, 6018114334610, 188843661927722, 5967907867992530, 189409387169327072, 6026765613077397218, 192055334303544833636, 6125756449825618892738, 195490687107317681212208

Offset

1,1

Comments

Column 6 of A205361.

Links

R. H. Hardin, Table of n, a(n) for n = 1..170

Formula

Empirical: a(n) = 129*a(n-1) -6829*a(n-2) +180102*a(n-3) -1812314*a(n-4) -26965888*a(n-5) +1058318461*a(n-6) -10846886378*a(n-7) -49737480772*a(n-8) +2295355105568*a(n-9) -18015178836383*a(n-10) -81864164506822*a(n-11) +2394566895549460*a(n-12) -11860018021894482*a(n-13) -84593338120198865*a(n-14) +1268674307807101798*a(n-15) -2993333202250939507*a(n-16) -43051010280497156149*a(n-17) +341429153639679616892*a(n-18) -45182088406779755008*a(n-19) -10747883589487327567286*a(n-20) +45407942329939110249282*a(n-21) +94798848953136840186932*a(n-22) -1349716443574942564109868*a(n-23) +2722174384120704282858588*a(n-24) +14735009522112986954734572*a(n-25) -86296064594459279392611216*a(n-26) +46485242928023619513093696*a(n-27) +906523618561887787562803320*a(n-28) -2813279876510177273448972456*a(n-29) -1530571404542996352937541472*a(n-30) +26326465115738100154601783472*a(n-31) -47360603883548156181434367552*a(n-32) -61647618225907205976346123104*a(n-33) +375747310424617199628435745920*a(n-34) -446498229621925445844720272832*a(n-35) -628397187497024225745447156096*a(n-36) +2585362650894549622026434504448*a(n-37) -2738003990855811474605393249280*a(n-38) -1235887284475709428755606497280*a(n-39) +6897904050968209366755169536000*a(n-40) -8943912639051762003563564236800*a(n-41) +6134476476453351777682587648000*a(n-42) -2276953194824626073115820032000*a(n-43) +362304695886258077077340160000*a(n-44).

Example

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

Crossrefs

Cf. A205361.

Sequence in context: A133861 A133862 A205624 * A061745 A251776 A045084

Adjacent sequences: A205356 A205357 A205358 * A205360 A205361 A205362

Keyword

nonn

Author

R. H. Hardin, Jan 26 2012

Status

approved