A240649 -id:A240649 - cp's OEIS frontend

A240644 Number of nX3 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

1, 2, 6, 8, 23, 60, 149, 396, 1050, 2814, 7571, 20372, 54879, 147946, 399002, 1076312, 2903613, 7833652, 21135287, 57024772, 153859830, 415135862, 1120101045, 3022215348, 8154444873, 22002086130, 59365425382, 160178219728, 432188727639

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 3 of A240649

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

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

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -2*a(n-3) +2*a(n-4) +2*a(n-5) -7*a(n-6) -8*a(n-7) +15*a(n-8) +4*a(n-9) -8*a(n-10) -4*a(n-11) +15*a(n-12) +8*a(n-13) -7*a(n-14) -2*a(n-15) +2*a(n-16) +2*a(n-17) -3*a(n-18) -4*a(n-19) -a(n-20)

A240645 Number of nX4 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

Original entry on oeis.org

2, 3, 8, 18, 61, 168, 526, 1643, 5524, 18762, 65149, 228440, 807770, 2872483, 10255424, 36709394, 131630309, 472542776, 1697728566, 6102699043, 21944561100, 78928279002, 283926402165, 1021465508456, 3675119389202, 13223276351667

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 4 of A240649

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

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

Empirical: a(n) = 5*a(n-1) -5*a(n-2) +4*a(n-3) -3*a(n-4) -49*a(n-5) +10*a(n-6) +15*a(n-7) +45*a(n-8) +124*a(n-9) +131*a(n-10) +301*a(n-11) +18*a(n-12) -615*a(n-13) -201*a(n-14) -1508*a(n-15) -823*a(n-16) -413*a(n-17) -254*a(n-18) +2467*a(n-19) +793*a(n-20) +4516*a(n-21) +1071*a(n-22) +2289*a(n-23) -2289*a(n-25) -1071*a(n-26) -4516*a(n-27) -793*a(n-28) -2467*a(n-29) +254*a(n-30) +413*a(n-31) +823*a(n-32) +1508*a(n-33) +201*a(n-34) +615*a(n-35) -18*a(n-36) -301*a(n-37) -131*a(n-38) -124*a(n-39) -45*a(n-40) -15*a(n-41) -10*a(n-42) +49*a(n-43) +3*a(n-44) -4*a(n-45) +5*a(n-46) -5*a(n-47) +a(n-48)

A240646 Number of nX5 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

Original entry on oeis.org

3, 6, 23, 61, 232, 953, 4343, 19458, 90165, 421048, 1984496, 9408853, 44826507, 214397042, 1027671976, 4934720969, 23725826486, 114171204929, 549741892899, 2648230058688, 12761166119581, 61506635738385, 296498879827182

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 5 of A240649

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

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

A240647 Number of nX6 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

Original entry on oeis.org

5, 10, 60, 168, 953, 5304, 29481, 168320, 990468, 5920658, 36118925, 223452736, 1398014617, 8822174770, 56061936636, 358120024848, 2296837339689, 14776222949736, 95279221861053, 615439624491192, 3980504657629172

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 6 of A240649

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

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

A240648 Number of nX7 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

Original entry on oeis.org

8, 21, 149, 526, 4343, 29481, 227270, 1748201, 14230080, 116070258, 970291863, 8167942037, 69515482202, 595126853497, 5123195518181, 44273991533826, 383829145390407, 3335510350046976, 29039638981754848, 253185283934243073

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Column 7 of A240649

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

R. H. Hardin, Table of n, a(n) for n = 1..169

A240643 Number of n X n 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

Original entry on oeis.org

0, 2, 6, 18, 232, 5304, 227270, 18030130, 2764522654, 770199142784

Offset: 1

R. H. Hardin, Apr 09 2014

nonn

Diagonal of A240649

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

cp's OEIS Frontend

A240644 Number of nX3 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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A240645 Number of nX4 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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A240646 Number of nX5 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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A240647 Number of nX6 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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A240648 Number of nX7 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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A240643 Number of n X n 0..1 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..1 introduced in row major order.

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Examples