A236809 -id:A236809 - cp's OEIS frontend

A236802 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2 X 2 subblock equal.

81, 277, 1033, 4183, 17481, 75907, 330433, 1468723, 6479721, 29026267, 128645233, 577868563, 2565424761, 11535912427, 51246733633, 230538193603, 1024408886601, 4609215271387, 20483612959633, 92170773169843, 409632127625241

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 1 of A236809.

			Some solutions for n=5:
  1 2    1 2    0 2    0 2    0 2    0 0    0 2    1 1    2 2    2 1
  0 0    2 0    1 0    2 1    1 0    0 0    1 1    1 0    2 1    2 2
  0 1    1 0    2 0    2 0    2 0    1 1    2 0    1 1    1 1    2 1
  1 1    0 0    0 1    1 2    2 1    1 1    1 1    2 1    2 1    2 0
  1 2    1 0    2 2    0 2    0 0    2 2    0 2    0 0    2 0    0 1
  1 1    0 0    1 0    0 1    2 1    1 1    1 1    0 1    0 1    0 0

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

Cf. A236809.

Empirical: a(n) = 5*a(n-1) + 20*a(n-2) - 130*a(n-3) + 36*a(n-4) + 600*a(n-5) - 720*a(n-6).

Empirical g.f.: x*(81 - 128*x - 1972*x^2 + 4008*x^3 + 9000*x^4 - 19440*x^5) / ((1 - 2*x)*(1 - 3*x)*(1 - 6*x^2)*(1 - 20*x^2)). - Colin Barker, Feb 24 2018

A236804 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

1033, 8825, 85929, 929447, 9558409, 107087939, 1117775361, 12821027315, 135199336873, 1580326999835, 16792477473969, 199287485892947, 2129881236360889, 25583932979862059, 274630528704260481

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 3 of A236809

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

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

Empirical: a(n) = 24*a(n-1) -55*a(n-2) -2772*a(n-3) +26568*a(n-4) -71616*a(n-5) -74996*a(n-6) +644112*a(n-7) -762032*a(n-8) -588288*a(n-9) +1612416*a(n-10) -783360*a(n-11)

A236803 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

277, 1435, 8825, 60187, 410305, 2926867, 20377961, 147734251, 1039350577, 7613312515, 53944065785, 398046992347, 2834584305025, 21024264295027, 150246189753161, 1118382878221771, 8011732148951377, 59783309384192995

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 2 of A236809

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

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

Empirical: a(n) = 12*a(n-1) +15*a(n-2) -672*a(n-3) +2434*a(n-4) +864*a(n-5) -17988*a(n-6) +24192*a(n-7) +14472*a(n-8) -46656*a(n-9) +23328*a(n-10)

A236805 Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

4183, 60187, 929447, 16530709, 270610375, 5140896385, 86863046591, 1730194335025, 29809824906343, 613527734331097, 10689124490322287, 224961906203697169, 3943143681821693815, 84279362890540754665

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 4 of A236809

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

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

Empirical: a(n) = 36*a(n-1) +213*a(n-2) -20688*a(n-3) +159340*a(n-4) +2245440*a(n-5) -34534356*a(n-6) +121902336*a(n-7) +49292928*a(n-8) -974576448*a(n-9) +1350053568*a(n-10) +778781952*a(n-11) -2623560192*a(n-12) +1330255872*a(n-13)

A236806 Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

17481, 410305, 9558409, 270610375, 6612746409, 203606804707, 5094225962785, 167431587932179, 4238424064205001, 146743496294875195, 3736375181313140689, 134871797219330857075, 3444806969589767397849, 128484283442135059854667

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 5 of A236809

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

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

Empirical: a(n) = 6*a(n-1) +2037*a(n-2) -12282*a(n-3) -1251404*a(n-4) +7631304*a(n-5) +222376028*a(n-6) -1410692088*a(n-7) +774758880*a(n-8) +9534803520*a(n-9) -17365107200*a(n-10) -5340748800*a(n-11) +29872128000*a(n-12) -16293888000*a(n-13)

A236807 Number of (n+1)X(6+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

75907, 2926867, 107087939, 5140896385, 203606804707, 11092792124317, 457619414560859, 27133853757874765, 1137649333616978947, 71445848806556028277, 3006262303583356155659, 196820730933791596981165

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 6 of A236809

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

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

Empirical: a(n) = 66*a(n-1) +6693*a(n-2) -517398*a(n-3) -12402284*a(n-4) +1417737384*a(n-5) -1644793764*a(n-6) -1564727002056*a(n-7) +21216496783968*a(n-8) +527850835201152*a(n-9) -12351354216581376*a(n-10) +54620084393888256*a(n-11) -1596475030394880*a(n-12) -411721665197137920*a(n-13) +648256268849283072*a(n-14) +287629499666792448*a(n-15) -1191655214366588928*a(n-16) +626271353535725568*a(n-17)

A236808 Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

330433, 20377961, 1117775361, 86863046591, 5094225962785, 457619414560859, 27385111938746265, 2738509536172477067, 163523882162586207553, 17866672312397065316531, 1056619306386809386800201

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Column 7 of A236809

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

R. H. Hardin, Table of n, a(n) for n = 1..118

Empirical: a(n) = 146*a(n-1) +8581*a(n-2) -2153126*a(n-3) +36986164*a(n-4) +8566608616*a(n-5) -403792107492*a(n-6) -4627004769288*a(n-7) +614603881718240*a(n-8) -11583617148991360*a(n-9) +50064271774317056*a(n-10) +362780843147264*a(n-11) -383746761879830528*a(n-12) +600909926643662848*a(n-13) +270740030729748480*a(n-14) -1110528281385369600*a(n-15) +583172068737024000*a(n-16)

A236801 Number of (n+1)X(n+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

Original entry on oeis.org

81, 1435, 85929, 16530709, 6612746409, 11092792124317, 27385111938746265, 497183007539695570813, 7087061017965887490247401

Offset: 1

R. H. Hardin, Jan 31 2014

nonn

Diagonal of A236809

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

cp's OEIS Frontend

A236802 Number of (n+1) X (1+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2 X 2 subblock equal.

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A236804 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236803 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236805 Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236806 Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236807 Number of (n+1)X(6+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236808 Number of (n+1)X(7+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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A236801 Number of (n+1)X(n+1) 0..2 arrays with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock equal.

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