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 1-10 of 15 results. Next

A129886 Sequence a_{h_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where a_n = A129878, h_n = A129874.

Original entry on oeis.org

1, 0, 1, 1, 6, 4, 25, 20
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129878 Sequence a_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

1, 3, 10, 42, 178, 787, 3552, 16319
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129876 Sequence i_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

2, 4, 14, 52, 210, 888, 3886, 17448
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129873 Sequence s_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

2, 3, 8, 13, 38, 64, 196, 337, 1062, 1851, 5948, 10468, 34120, 60488, 199316, 355369, 1181126, 2115577, 7080928, 12731141, 42860534, 77306428, 261542752, 473018396, 1607076200, 2913321828, 9934255472, 18045744424, 61732449648, 112340143632
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Programs

  • PARI
    listsn(m) = {my(S = t*O(t)); for (n= 1, m+1, S = (- 8*t - 3 - (8*t^4 - t^2)*S^3 - (24*t^3 - 2*t^2 - 4*t)*S^2)/(24*t^2 + 2*t - 3);); return(vector(m, i , polcoeff(S, i, t)));} \\ Michel Marcus, Mar 29 2013

Formula

See Quaintance reference for generating functions that produce A129872-A129886.
G.f.: S(t) satisfies (8*t^4 - t^2)*S(t)^3 + (24*t^3 - 2*t^2 - 4*t)*S(t)^2 + (24*t^2 + 2^t - 3)*S(t) + 8*t + 3 = 0. - Michel Marcus, Mar 29 2013

Extensions

More terms from Michel Marcus, Mar 29 2013

A129874 Sequence h_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

2, 1, 4, 4, 16, 19, 76, 98
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129875 Sequence t_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

0, 2, 4, 9, 22, 45, 120, 239
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129880 Sequence d_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).

Original entry on oeis.org

1, 1, 4, 10, 32, 101, 334, 1129, 3890, 13618, 48275, 172995, 625574, 2279997, 8366553, 30885640, 114620926, 427383918, 1600323161, 6015226752, 22687991095, 85843131701, 325734335544, 1239274254094, 4726359853214, 18065978123065
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

Programs

  • PARI
    listdn(m) = { my(D = t*O(t)); for (n= 1, m, D = (t - (t^3 + t^2)*D^3 - (t^3 - t^2 - 2*t)*D^2)/(1 - t - t^2);); return(vector(m, i , polcoeff(D, i, t)));} \\ Michel Marcus, Mar 29 2013

Formula

See Quaintance reference for generating functions that produce A129872-A129886.
G.f.: D(t) satisfies (t^3 + t^2)*D^3 + (t^3 - t^2 - 2*t)*D^2 + (-t^2 - t + 1)*D - t = 0. Michel Marcus, Mar 29 2013

A129881 Sequence i_{s_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n = A129876, s_n = A129873.

Original entry on oeis.org

2, 2, 6, 6, 22, 24, 90, 100
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129877 Sequence i_{a_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n is A129876, a_n is A129878.

Original entry on oeis.org

2, 0, 6, 12, 58, 220, 958, 4184
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.

A129879 Sequence a_{a_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where a_n is A129878.

Original entry on oeis.org

1, 0, 3, 9, 42, 182, 821, 3754
Offset: 1

Views

Author

N. J. A. Sloane, May 26 2007

Keywords

References

  • Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.

Formula

See Quaintance reference for generating functions that produce A129872-A129886.
Showing 1-10 of 15 results. Next