A205415 -id:A205415 - cp's OEIS frontend

A205407 Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

468, 44596, 10331386, 2839359056, 2520131261396

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Diagonal of A205415

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

A205408 Number of (n+2) X 3 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

468, 3868, 33322, 236576, 1820215, 14452683, 109757792, 844627201, 6555663807, 50395116296, 388310279461, 2998496455277, 23106198583152, 178125506630869, 1373888878002903, 10592170949339668, 81666691848271821, 629737361145882421

Offset: 1

R. H. Hardin, Jan 26 2012

nonn

Column 1 of A205415.

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

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

Cf. A205415.

Empirical: a(n) = 3*a(n-1) +15*a(n-2) +210*a(n-3) -46*a(n-4) -1180*a(n-5) -8860*a(n-6) -9460*a(n-7) +35477*a(n-8) +165003*a(n-9) +271917*a(n-10) -292806*a(n-11) -1718502*a(n-12) -2698834*a(n-13) -1465296*a(n-14) +4872048*a(n-15) +13801984*a(n-16) +30802224*a(n-17) +54371712*a(n-18) +14213752*a(n-19) -115878688*a(n-20) -314261840*a(n-21) -579542448*a(n-22) -599435264*a(n-23) +450034176*a(n-24) +2993109568*a(n-25) +6140523968*a(n-26) +5188675584*a(n-27) -5040264704*a(n-28) -21090059008*a(n-29) -30058399232*a(n-30) -12075326464*a(n-31) +39301468160*a(n-32) +79235510272*a(n-33) +29768392704*a(n-34) -75591352320*a(n-35) -84606517248*a(n-36) +10132783104*a(n-37) +59464876032*a(n-38) +26931363840*a(n-39).

A205409 Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

3868, 44596, 549414, 5686031, 64878898, 768581101, 8606465750, 98080551694, 1133347809296, 12914400827409, 147488385577992, 1691863713691698, 19345357758536500, 221200783159493283, 2532531552219620474

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 2 of A205415

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

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

A205410 Number of (n+2)X5 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

33322, 549414, 10331386, 151598017, 2553087985, 45661264026, 735422130329, 12286397087182, 212128668698876, 3518160933737460, 58829708185415817, 999828369246325845, 16744112843227770105, 280613932821800402695

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 3 of A205415

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

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

A205411 Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

236576, 5686031, 151598017, 2839359056, 67792717447, 1715387177450, 36803297869771, 858554973465776, 20804813475950945, 468182020666807407, 10859505355533459702, 257344051938542231086, 5904014034167014999764

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 4 of A205415

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

R. H. Hardin, Table of n, a(n) for n = 1..88

A205412 Number of (n+2)X7 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

1820215, 64878898, 2553087985, 67792717447, 2520131261396, 98445276297551, 3148208484619590, 113563473572336662, 4281011039064902788

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 5 of A205415

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

A205413 Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

14452683, 768581101, 45661264026, 1715387177450, 98445276297551

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 6 of A205415

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

A205414 Number of (n+2)X9 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

Original entry on oeis.org

109757792, 8606465750, 735422130329, 36803297869771, 3148208484619590

Offset: 1

R. H. Hardin Jan 26 2012

nonn

Column 7 of A205415

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

cp's OEIS Frontend

A205407 Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205408 Number of (n+2) X 3 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205409 Number of (n+2)X4 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205410 Number of (n+2)X5 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205411 Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205412 Number of (n+2)X7 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205413 Number of (n+2)X8 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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A205414 Number of (n+2)X9 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..2 introduced in row major order.

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