cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A205156 Number of n X 3 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

4, 159, 6941, 332285, 15821727, 754700909, 35987024999, 1716127952620, 81836397835786, 3902517029091331, 186098468293931598, 8874437930744029485, 423193413557085915551, 20180733461342796276880, 962354302788447192584715
Offset: 1

Views

Author

R. H. Hardin, Jan 22 2012

Keywords

Comments

Column 3 of A205161.

Examples

			Some solutions for n=5
..0..1..0....0..0..1....0..1..0....0..0..1....0..1..1....0..0..1....0..1..0
..0..2..1....0..1..0....1..0..0....0..0..1....2..1..2....0..0..1....0..1..0
..1..0..0....2..2..1....0..1..1....2..3..2....3..0..1....1..2..2....1..2..1
..3..1..3....0..3..1....1..0..2....1..2..0....2..0..0....0..1..3....0..1..1
..0..1..0....0..1..0....3..0..1....1..0..0....1..3..0....1..3..3....3..3..0
		

Crossrefs

Cf. A205161.

Formula

Empirical: a(n) = 31*a(n-1) +823*a(n-2) -252*a(n-3) -52259*a(n-4) +87947*a(n-5) +1095319*a(n-6) -4745176*a(n-7) +10623369*a(n-8) -36463721*a(n-9) +82619588*a(n-10) -158093875*a(n-11) +920330535*a(n-12) -1497234862*a(n-13) -5785171916*a(n-14) +16895441000*a(n-15) +6660128158*a(n-16) -55861945290*a(n-17) +14212421433*a(n-18) +108914824629*a(n-19) -51094288080*a(n-20) -179515412487*a(n-21) +82222065765*a(n-22) +259561632114*a(n-23) -111344938794*a(n-24) -259691826978*a(n-25) +151979086620*a(n-26) +155859261048*a(n-27) -153594572976*a(n-28) -39392244000*a(n-29) +97696264320*a(n-30) -14881397760*a(n-31) -40063040640*a(n-32) +13919817600*a(n-33) +10032346368*a(n-34) -4111699968*a(n-35) -1934917632*a(n-36) for n>39.

A205157 Number of nX4 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

12, 2191, 332285, 54314298, 8797534495, 1427843505563, 231638725420288, 37582214286016391, 6097402008530516671, 989257097238735049744, 160499289951117243179507, 26039769955147853451399045
Offset: 1

Views

Author

R. H. Hardin Jan 22 2012

Keywords

Comments

Column 4 of A205161

Examples

			Some solutions for n=5
..0..1..1..0....0..0..1..0....0..0..1..0....0..1..0..0....0..1..0..2
..0..0..2..0....2..1..0..1....2..0..3..1....0..1..0..0....0..3..3..0
..1..2..1..1....0..1..1..2....1..2..1..2....1..0..1..1....1..3..2..1
..3..1..0..0....3..2..1..2....0..1..0..3....2..3..1..3....1..2..1..1
..1..0..2..3....3..3..0..3....2..2..3..2....2..2..3..1....0..2..0..3
		

A205158 Number of n X 5 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

40, 31168, 15821727, 8797534495, 4826926610498, 2654271236904226, 1458877292453477918, 801931987315155805350, 440804977416966931974046, 242302335602851559365684237, 133188963363707384391102837136, 73211445306645369967259855981514, 40242939870572168051645146035499410
Offset: 1

Views

Author

R. H. Hardin, Jan 22 2012

Keywords

Examples

			Some solutions for n=5:
..0..0..1..0..0....0..0..1..0..1....0..1..1..0..0....0..0..1..0..0
..2..1..3..2..2....0..2..2..1..0....0..0..1..0..0....2..0..3..0..2
..2..2..3..2..2....3..1..0..1..0....1..2..3..2..1....0..3..1..1..2
..3..1..1..3..1....0..0..1..2..1....2..0..1..0..0....0..2..0..1..0
..1..2..1..3..2....3..3..0..2..0....0..0..3..0..1....3..2..2..3..2
		

Crossrefs

Column 5 of A205161.

A205155 Number of n X n 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

1, 15, 6941, 54314298, 4826926610498, 4948963310952700521
Offset: 1

Views

Author

R. H. Hardin Jan 22 2012

Keywords

Comments

Diagonal of A205161

Examples

			Some solutions for n=5
..0..0..1..0..0....0..0..1..0..1....0..0..1..0..0....0..1..0..0..1
..2..1..3..2..2....0..2..2..1..0....1..1..2..3..3....1..1..2..2..3
..2..2..3..2..2....3..1..0..1..0....3..2..0..0..2....3..0..3..3..0
..3..1..1..3..1....0..0..1..2..1....1..1..3..1..0....0..3..3..0..2
..1..2..1..3..2....3..3..0..2..0....0..1..0..2..3....1..0..1..0..1
		

A205159 Number of n X 6 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

143, 447343, 754700909, 1427843505563, 2654271236904226, 4948963310952700521, 9223088985799640757493, 17190329064400885392195249, 32039205913239024375598390394
Offset: 1

Views

Author

R. H. Hardin, Jan 22 2012

Keywords

Examples

			Some solutions for n=5
..0..0..1..0..1..1....0..1..0..1..0..0....0..1..1..2..1..1....0..0..1..0..2..0
..2..0..2..2..1..0....0..1..1..2..3..2....0..2..0..3..0..0....0..0..1..1..0..1
..3..2..2..0..2..3....3..0..1..2..1..1....2..1..1..0..2..1....3..3..2..2..3..1
..3..0..1..2..3..3....2..1..2..3..0..1....0..1..0..2..2..1....3..0..2..0..2..2
..0..1..1..2..3..0....2..0..0..1..3..0....0..3..1..0..1..0....0..0..1..0..3..3
		

Crossrefs

Column 6 of A205161.

A205160 Number of n X 7 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

Original entry on oeis.org

528, 6427791, 35987024999, 231638725420288, 1458877292453477918, 9223088985799640757493
Offset: 1

Views

Author

R. H. Hardin, Jan 22 2012

Keywords

Examples

			Some solutions for n=5
..0..0..1..2..3..3..2....0..1..1..0..0..2..3....0..0..1..1..0..1..2
..3..0..0..1..2..3..2....3..0..0..2..1..3..2....1..1..0..0..1..0..3
..2..1..2..1..0..1..0....0..1..1..2..0..1..2....2..1..1..2..0..3..1
..1..3..2..2..3..0..3....1..3..0..0..1..3..3....3..0..2..0..1..3..2
..1..0..3..1..0..3..3....2..0..2..2..1..1..0....3..1..3..2..2..1..1
		

Crossrefs

Column 7 of A205161.
Showing 1-6 of 6 results.