A251249 -id:A251249 - cp's OEIS frontend

A251242 Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

75, 14265, 20904689, 236035946835, 20534495636679387, 13764744150100667222985, 71093648993125363900542904561, 2829255370682961509218005180234886323

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Diagonal of A251249

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

R. H. Hardin, Table of n, a(n) for n = 1..11

A251243 Number of (n+1) X (2+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

621, 14265, 327753, 7530633, 173028393, 3975606801, 91345992921, 2098821870081, 48223825786089, 1108020364732593, 25458559305394041, 584951560945849089, 13440207851070791625, 308810505245808515409, 7095420636859874120985

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

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

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

Column 2 of A251249.

Empirical: a(n) = 27*a(n-1) - 94*a(n-2) + 36*a(n-3) - 4*a(n-4) - 36*a(n-5).

Empirical g.f.: 9*x*(69 - 278*x + 108*x^2 - 16*x^3 - 108*x^4) / (1 - 27*x + 94*x^2 - 36*x^3 + 4*x^4 + 36*x^5). - Colin Barker, Nov 27 2018

A251244 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

5139, 327753, 20904689, 1333268433, 85032883789, 5423196612609, 345878548314469, 22059307525808241, 1406889917539387453, 89728076602595409057, 5722642281407762900517, 364976447934805630538193

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Column 3 of A251249

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

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

Empirical: a(n) = 81*a(n-1) -1165*a(n-2) +4257*a(n-3) -544*a(n-4) -4428*a(n-5) +7512*a(n-6) -80352*a(n-7) -67376*a(n-8) +32256*a(n-9) +20160*a(n-10)

A251245 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

42525, 7530633, 1333268433, 236035946835, 41786532918513, 7397658897202791, 1309640978922956217, 231851661109674461595, 41045747464323823946625, 7266514192354994223128283, 1286423850879599442443706681

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Column 4 of A251249

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

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

Empirical: a(n) = 243*a(n-1) -12974*a(n-2) +236322*a(n-3) -1209024*a(n-4) -2903472*a(n-5) +39230408*a(n-6) +36692136*a(n-7) -81363872*a(n-8) -13350417264*a(n-9) -31190025008*a(n-10) +131686132896*a(n-11) +557194797504*a(n-12) +324811988352*a(n-13) +44140742400*a(n-14) +1172245859712*a(n-15) +1535371786496*a(n-16) -166686769152*a(n-17) +514029736704*a(n-18) +114288768000*a(n-19) -43963103232*a(n-20) -23758092288*a(n-21) -13501624320*a(n-22) +51425280*a(n-23) +35831808*a(n-24)

A251246 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

351891, 173028393, 85032883789, 41786532918513, 20534495636679387, 10090935221593972941, 4958824382557190011939, 2436834428903758977300429, 1197493907250619474216993239, 588464952033721324797933672285

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Column 5 of A251249

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 51

Empirical recurrence of order 51 (see link above)

A251247 Number of (n+1)X(6+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

2911869, 3975606801, 5423196612609, 7397658897202791, 10090935221593972941, 13764744150100667222985, 18776074467676820865893649, 25611879095826060637986004629, 34936394682728788460192115698193

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Column 6 of A251249

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

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

A251248 Number of (n+1)X(7+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

Original entry on oeis.org

24095475, 91345992921, 345878548314469, 1309640978922956217, 4958824382557190011939, 18776074467676820865893649, 71093648993125363900542904561, 269188685349250291174788288004161

Offset: 1

R. H. Hardin, Dec 01 2014

nonn

Column 7 of A251249

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

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

cp's OEIS Frontend

A251242 Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251243 Number of (n+1) X (2+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251244 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251245 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251246 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251247 Number of (n+1)X(6+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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A251248 Number of (n+1)X(7+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the minimum of its antidiagonal elements.

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