A235449 -id:A235449 - cp's OEIS frontend

A235443 Number of (n+1) X (2+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

58, 382, 2476, 15936, 102376, 657290, 4219322, 27083638, 173846264, 1115891712, 7162725052, 45976338618, 295114433334, 1894290182854, 12159131749324, 78047432228320, 500973408338488, 3215664483364362, 20640812260995146

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

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

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

Column 2 of A235449.

Empirical: a(n) = 8*a(n-1) - 8*a(n-2) - 16*a(n-3) + 12*a(n-4) + 14*a(n-5) - a(n-6) - 2*a(n-7).

Empirical g.f.: 2*x*(29 - 41*x - 58*x^2 + 56*x^3 + 56*x^4 - 5*x^5 - 8*x^6) / ((1 - x - x^2)^2*(1 - 6*x - 3*x^2 + 2*x^3)). - Colin Barker, Oct 19 2018

A235444 Number of (n+1) X (3+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

208, 2476, 28962, 335898, 3886120, 44920240, 519099694, 5998218844, 69307887110, 800828757910, 9253279485850, 106918144830246, 1235398494858302, 14274558937627814, 164937087638756238, 1905785172348833784

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Column 3 of A235449.

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

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

Cf. A235449.

Empirical: a(n) = 17*a(n-1) -56*a(n-2) -150*a(n-3) +801*a(n-4) +479*a(n-5) -4435*a(n-6) -871*a(n-7) +12987*a(n-8) +2167*a(n-9) -21439*a(n-10) -5739*a(n-11) +19164*a(n-12) +7862*a(n-13) -7875*a(n-14) -4449*a(n-15) +862*a(n-16) +716*a(n-17) -8*a(n-18) -32*a(n-19).

A235445 Number of (n+1)X(4+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

742, 15936, 335898, 7017768, 146213244, 3043145826, 63315473350, 1317184566572, 27401048899854, 570010121664030, 11857587445735140, 246666181271526484, 5131244813184060086, 106742118037538403444, 2220490316595946662760

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Column 4 of A235449

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 53

Empirical recurrence of order 53 (see link above)

A235446 Number of (n+1)X(5+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

2644, 102376, 3886120, 146213244, 5485253042, 205551169550, 7699719982722, 288383414393138, 10800536489561114, 404495358726610494, 15148844516247948642, 567341751928412753520, 21247593602541105806608

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Column 5 of A235449

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

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

A235447 Number of (n+1) X (6+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

9418, 657290, 44920240, 3043145826, 205551169550, 13868068262164, 935263088301396, 63064724124453082, 4252224342324710504, 286706640921161498010, 19331099358385310094498, 1303390076791046628378510

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Column 6 of A235449.

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

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

Cf. A235449.

A235448 Number of (n+1)X(7+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

33544, 4219322, 519099694, 63315473350, 7699719982722, 935263088301396, 113555975474406500, 13785363846787350466, 1673407961412976159218, 203131147623014349473962, 24657443308255446422188572

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Column 7 of A235449

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

R. H. Hardin, Table of n, a(n) for n = 1..77

A235442 Number of (n+1)X(n+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Original entry on oeis.org

16, 382, 28962, 7017768, 5485253042, 13868068262164, 113555975474406500, 3012872125570872924612

Offset: 1

R. H. Hardin, Jan 10 2014

nonn

Diagonal of A235449

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

cp's OEIS Frontend

A235443 Number of (n+1) X (2+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

A235444 Number of (n+1) X (3+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A235445 Number of (n+1)X(4+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples

Links

Formula

A235446 Number of (n+1)X(5+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples

Links

A235447 Number of (n+1) X (6+1) 0..1 arrays with the difference between each 2 X 2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A235448 Number of (n+1)X(7+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples

Links

A235442 Number of (n+1)X(n+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise.

Views

Author

Keywords

Comments

Examples