A241138 -id:A241138 - cp's OEIS frontend

A241133 Number of n X 2 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

1, 2, 5, 17, 56, 195, 691, 2476, 8941, 32393, 117632, 427635, 1555643, 5661060, 20604893, 75004865, 273044808, 994013923, 3618750915, 13174348572, 47962513037, 174612764153, 635697854288, 2314333217939, 8425607885003

Offset: 1

R. H. Hardin, Apr 16 2014

nonn

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

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

Column 2 of A241138.

Empirical: a(n) = 4*a(n-1) + 2*a(n-2) - 11*a(n-3) - 6*a(n-4) + 8*a(n-5) for n>6.

Empirical g.f.: x*(1 - x)*(1 - x - 6*x^2 - 2*x^3 + 4*x^4) / ((1 - 2*x)*(1 - 2*x - 6*x^2 - x^3 + 4*x^4)). - Colin Barker, Oct 29 2018

A241134 Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Original entry on oeis.org

1, 5, 24, 152, 935, 6150, 40504, 269481, 1797120, 12006500, 80271767, 536871242, 3591277652, 24025055521, 160729893196, 1075318230432, 7194178531255, 48131264332222, 322013597082816, 2154376343705369, 14413489436501544

Offset: 1

R. H. Hardin, Apr 16 2014

nonn

Column 3 of A241138

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

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

Empirical: a(n) = 7*a(n-1) +3*a(n-2) -21*a(n-3) -45*a(n-4) -293*a(n-5) -87*a(n-6) +857*a(n-7) +2153*a(n-8) +3773*a(n-9) +501*a(n-10) -1147*a(n-11) -4888*a(n-12) -15704*a(n-13) +1372*a(n-14) -4728*a(n-15) +4720*a(n-16) +1656*a(n-17) -59632*a(n-18) -55392*a(n-19) -57664*a(n-20) -22400*a(n-21) -2304*a(n-22) -19456*a(n-23) -47104*a(n-24) -114688*a(n-25) -65536*a(n-26) for n>27

A241135 Number of nX4 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Original entry on oeis.org

2, 17, 152, 1670, 19619, 238607, 2939027, 36470565, 454209512, 5665536042, 70725144550, 883230404813, 11031990457193, 137807268659287, 1721508492588267, 21505781617159089, 268661629731046770

Offset: 1

R. H. Hardin, Apr 16 2014

nonn

Column 4 of A241138

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

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

A241136 Number of nX5 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Original entry on oeis.org

3, 56, 935, 19619, 434444, 9958520, 230889822, 5392206371, 126282435834, 2961490680709, 69496584116858, 1631338280892936, 38298741469181591, 899193676958891448, 21112270301566616904, 495704295580513197709

Offset: 1

R. H. Hardin, Apr 16 2014

nonn

Column 5 of A241138

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

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

A241137 Number of nX6 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Original entry on oeis.org

6, 195, 6150, 238607, 9958520, 428855442, 18742128588, 825015103540, 36426835430201, 1610881122223657, 71287590353047925, 3155784624457534434, 139723512923338940613, 6186762308840035967958, 273950648299765566159446

Offset: 1

R. H. Hardin, Apr 16 2014

nonn

Column 6 of A241138

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

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

cp's OEIS Frontend

A241133 Number of n X 2 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A241134 Number of nX3 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

Formula

A241135 Number of nX4 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A241136 Number of nX5 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links

A241137 Number of nX6 0..2 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..2 introduced in row major order.

Views

Author

Keywords

Comments

Examples

Links