A250913 -id:A250913 - cp's OEIS frontend

A250906 Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

74, 13401, 18077319, 181725094746, 13614176466285177, 7601083164098734394079, 31627738616791159166366474706, 980775577015597559408509097508207843, 226662690545871494601898816284099112431799133

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Diagonal of A250913

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

R. H. Hardin, Table of n, a(n) for n = 1..10

A250907 Number of (n+1) X (2+1) 0..2 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

603, 13401, 297873, 6621219, 147178899, 3271547025, 72721157625, 1616472795339, 35931555318411, 798699904707465, 17753796965556513, 394637967071813043, 8772158730705164739, 194990789577739653441, 4334327408721425197833

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

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

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

Column 2 of A250913.

Empirical: a(n) = 24*a(n-1) - 41*a(n-2) + 36*a(n-3).

Empirical g.f.: 9*x*(67 - 119*x + 108*x^2) / (1 - 24*x + 41*x^2 - 36*x^3). - Colin Barker, Nov 23 2018

A250908 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

4909, 297873, 18077319, 1096982379, 66566704705, 4039362762435, 245114118899485, 14873861407326111, 902566310928490467, 54768961329136851033, 3323455667098397402917, 201671846608424737679469

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Column 3 of A250913

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

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

Empirical: a(n) = 74*a(n-1) -825*a(n-2) +1101*a(n-3) -4926*a(n-4) +231*a(n-5) +1684*a(n-6) +736*a(n-7)

A250909 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

39960, 6621219, 1096982379, 181725094746, 30104106257115, 4986961280614953, 826125782084148708, 136853637633971644347, 22670782687226177355267, 3755577099313037361116844, 622138174177304855831638383

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Column 4 of A250913

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

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

Empirical: a(n) = 202*a(n-1) -6346*a(n-2) +54499*a(n-3) -108047*a(n-4) +2308813*a(n-5) -8304217*a(n-6) -16011215*a(n-7) +3358369*a(n-8) +18927043*a(n-9) -60255820*a(n-10) +18024160*a(n-11) +47390528*a(n-12) -6773760*a(n-13)

A250910 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

325277, 147178899, 66566704705, 30104106257115, 13614176466285177, 6156816533805174849, 2784331051704024117237, 1259173248324767358662925, 569442787308774307063155581, 257522216934259282355558842095

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Column 5 of A250913

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

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

Empirical: a(n) = 620*a(n-1) -83627*a(n-2) +3605344*a(n-3) -42939846*a(n-4) -359947350*a(n-5) -21966661684*a(n-6) +497911964614*a(n-7) +513259039316*a(n-8) -10457703809577*a(n-9) -38142371891658*a(n-10) +587402536308610*a(n-11) -708344809484929*a(n-12) +2544659270637351*a(n-13) -21664799325067637*a(n-14) -42112417379573209*a(n-15) -236690631158164970*a(n-16) -4176670320833459964*a(n-17) -3656719896908549160*a(n-18) +2416174462811127841*a(n-19) +24326017200039318168*a(n-20) +17107585593966470060*a(n-21) -12080326048429290248*a(n-22) -18434081023517743400*a(n-23) -1896924959275875792*a(n-24) +6243621207481879936*a(n-25) +2258125750726765056*a(n-26) -358275665973080064*a(n-27) -370973105956454400*a(n-28) -15044183404314624*a(n-29) +22277901999144960*a(n-30)

A250911 Number of (n+1)X(6+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

2647773, 3271547025, 4039362762435, 4986961280614953, 6156816533805174849, 7601083164098734394079, 9384142308556191112974969, 11585469902120869957560844677, 14303183663125779053133772617453

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Column 6 of A250913

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

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

A250912 Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

21553018, 72721157625, 245114118899485, 826125782084148708, 2784331051704024117237, 9384142308556191112974969, 31627738616791159166366474706, 106596185653227343496197522538691

Offset: 1

R. H. Hardin, Nov 28 2014

nonn

Column 7 of A250913.

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

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

Cf. A250913.

cp's OEIS Frontend

A250906 Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250907 Number of (n+1) X (2+1) 0..2 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250908 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250909 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250910 Number of (n+1)X(5+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250911 Number of (n+1)X(6+1) 0..2 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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A250912 Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

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Examples

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