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.

A001394 Number of n-step self-avoiding walks on diamond.

Original entry on oeis.org

1, 4, 12, 36, 108, 324, 948, 2796, 8196, 24060, 70188, 205284, 597996, 1744548, 5073900, 14774652, 42922452, 124814484, 362267652, 1052271732, 3051900516, 8857050204, 25671988020, 74449697484, 215677847460, 625096195404, 1810062340812, 5243388472212
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

Comments

Number of 2 X n binary matrices avoiding simultaneously the right-angled numbered polyomino patterns (ranpp) (00;1) and (01;1). An occurrence of a ranpp (xy;z) in a matrix A=(a(i,j)) is a triple (a(i1,j1), a(i1,j2), a(i2,j1)) where i1 < i2, j1 < j2 and these elements are in same relative order as those in the triple (x,y,z). - Sergey Kitaev, Nov 11 2004

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001395, A001396, A001397, A001398, A097700, A176086, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013
a(24)-a(27) from Sean A. Irvine, Nov 13 2017

A227715 Triangle read by rows: Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2k.

Original entry on oeis.org

1, 4, 4, 28, 24, 16, 188, 188, 128, 64, 1428, 1368, 1120, 640, 256, 10708, 10572, 8864, 6208, 3072, 1024, 82948, 81376, 71572, 53376, 32768, 14336, 4096, 644788, 637148, 570512, 453424, 304640, 166912, 65536, 16384, 5067404, 5007560, 4572076, 3762672, 2728256, 1669120
Offset: 0

Views

Author

Joseph Myers, Jul 21 2013

Keywords

Comments

The number of walks ending with x = -k is the same as the number ending with x = k.

Examples

			Initial rows (paths of length 0, 2, 4, ...):
{ 1 };
{ 4, 4 };
{ 28, 24, 16 };
{ 188, 188, 128, 64 }.

Links

Crossrefs

Cf. A001394, A001395, A001396, A001397, A001398, A227716.

A001395 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 1.

Original entry on oeis.org

2, 10, 74, 518, 3934, 29914, 232094, 1812890, 14277886, 113016230, 898797262, 7173454238, 57431351010, 460989676450, 3708603354110, 29893215059758
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001394, A001396, A001397, A001398, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013
a(12)-a(13) from Sean A. Irvine, Nov 13 2017
a(14)-a(15) from Bert Dobbelaere, Jan 12 2019

A001396 Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0.

Original entry on oeis.org

1, 4, 28, 188, 1428, 10708, 82948, 644788, 5067404, 40016460, 317727164, 2532064332, 20247784124, 162353831796, 1304943724900, 10510168583516
Offset: 0

Views

Author

N. J. A. Sloane

Keywords

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001394, A001395, A001397, A001398, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013
a(12)-a(13) from Sean A. Irvine, Nov 13 2017
a(14)-a(15) from Bert Dobbelaere, Jan 12 2019

A001397 Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2.

Original entry on oeis.org

4, 24, 188, 1368, 10572, 81376, 637148, 5007560, 39638728, 314980912, 2513038452, 20109809792, 161359033480, 1297640775272, 10456351280264
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001394, A001395, A001396, A001398, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013
a(12)-a(14) from Sean A. Irvine, Nov 16 2017
a(15) from Bert Dobbelaere, Jan 12 2019

A001398 Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3.

Original entry on oeis.org

8, 56, 464, 3520, 27768, 217316, 1719616, 13633972, 108620060, 867750412, 6952901716, 55838915036, 449398552664, 3623393504692, 29262315259524
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

References

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Crossrefs

Cf. A001394, A001395, A001396, A001397, A227715, A227716.

Extensions

Edited and extended by Joseph Myers, Jul 21 2013
a(12)-a(13) from Sean A. Irvine, Nov 19 2017
a(14)-a(15) from Bert Dobbelaere, Jan 12 2019
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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