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.

Previous Showing 11-18 of 18 results.

A144599 Christoffel word of slope 6/7.

Original entry on oeis.org

0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Comments

The path is on the slope after 0, 13, 26 ,39 ,52, .... steps which gives the C-finite recurrence. - R. J. Mathar, May 28 2025

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-13). - R. J. Mathar, May 28 2025
G.f.: -x^2*(1+x^2)*(x^4-x^2+1)*(x^2-x+1)*(1+x+x^2) / ( (x-1)*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12) ). - R. J. Mathar, May 28 2025

A144600 Christoffel word of slope 2/11.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-13). - R. J. Mathar, May 30 2025
G.f.: -x^6*(1+x^2)*(x^4-x^2+1) / ( (x-1)*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12) ). - R. J. Mathar, May 30 2025

A144601 Christoffel word of slope 3/11.

Original entry on oeis.org

0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.
Different from A105563.

Formula

a(n) = a(n-14). - R. J. Mathar, May 30 2025
G.f.: -x^4*(1+x^5+x^9) / ( (x-1)*(1+x^6+x^5+x^4+x^3+x^2+x)*(1+x)*(1-x+x^2-x^3+x^4-x^5+x^6) ). - R. J. Mathar, May 30 2025

A144603 Christoffel word of slope 5/11.

Original entry on oeis.org

0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-16). - R. J. Mathar, May 30 2025
G.f.: -x^3*(1+x+x^2+x^3+x^4)*(x^8-x^7+x^5-x^4+x^3-x+1) / ( (x-1)*(1+x)*(1+x^2)*(1+x^4)*(1+x^8) ). - R. J. Mathar, May 30 2025

A144604 Christoffel word of slope 6/11.

Original entry on oeis.org

0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Comments

The path is on the slope after 0, 17, 34, 51, 68, 85,... steps (see A008599), which gives the C-finite recurrence. - R. J. Mathar, May 28 2025

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-17). - R. J. Mathar, May 28 2025
G.f.: -x^2*(x^2+1)*(x^12+x^7-x^5+x^4+x^3-x^2+1)/ (x-1) /(1 +x +x^2 +x^3 +x^4 +x^5 +x^6 +x^7 +x^8 +x^9 +x^10 +x^11 +x^12 +x^13 +x^14 +x^15 +x^16) . - R. J. Mathar, May 28 2025

A144605 Christoffel word of slope 7/11.

Original entry on oeis.org

0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-18). - R. J. Mathar, May 30 2025
G.f.: -x^2*(1+x^3+x^5+x^8+x^10+x^13+x^15) / ( (x-1)*(1+x+x^2)*(1+x^3+x^6)*(1+x)*(1-x+x^2)*(1-x^3+x^6) ). - R. J. Mathar, May 30 2025

A144606 Christoffel word of slope 8/11.

Original entry on oeis.org

0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-19). - R. J. Mathar, May 30 2025
G.f.: -x^2*(1+x^2+x^5+x^7+x^9+x^12+x^14+x^16) / ( (x-1)*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12+x^13+x^14+x^15+x^16+x^17+x^18) ). - R. J. Mathar, May 30 2025

A144607 Christoffel word of slope 9/11.

Original entry on oeis.org

0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1
Offset: 0

Views

Author

N. J. A. Sloane, Jan 13 2009

Keywords

Crossrefs

See A144595 for further details.

Formula

a(n) = a(n-20). - R. J. Mathar, May 30 2025
G.f.: -x^2*(1+x^2+x^4+x^6+x^9+x^11+x^13+x^15+x^17) / ( (x-1)*(1+x^4+x^3+x^2+x)*(1+x)*(1-x+x^2-x^3+x^4)*(1+x^2)*(x^8-x^6+x^4-x^2+1) ). - R. J. Mathar, May 30 2025
Previous Showing 11-18 of 18 results.