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 1-3 of 3 results.

A046861 Lower members of a "good pair" of the form (k, 2*k +- 1).

Original entry on oeis.org

1, 7, 11, 31, 41, 49, 109, 127, 139, 143, 151, 173, 179, 203, 217, 397, 491, 511, 521, 539, 547, 589, 599, 683, 749, 803, 929, 989, 2041, 2047, 2107, 2153, 2191, 2219, 2531, 2693, 2723, 2761, 2999, 3661, 3721, 3739, 6199, 6923, 7949
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A046862, A000696.

Extensions

Reference gives 45 terms.
More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005
Offset corrected and title improved by Sean A. Irvine, Apr 29 2021

A300695 Irregular triangle read by rows: T(n, k) = number of vertices with rank k in cocoon concertina n-cube.

Original entry on oeis.org

1, 1, 1, 1, 3, 3, 1, 1, 6, 13, 6, 13, 6, 1
Offset: 0

Views

Author

Tilman Piesk, Mar 13 2018

Keywords

Comments

Although the cocoon concertina n-cube has no ranks for n>2, its inner vertices can be forced on the rank layers of the convex solid.
Sum of row n is the number of vertices of a cocoon concertina n-cube, i.e., A000696(n).
The rows are palindromic. Their lengths are the central polygonal numbers A000124 = 1, 2, 4, 7, 11, 16, 22, ... That means after row 0 rows of even and odd length follow each other in pairs.
A300699 is a triangle of the same shape that shows the number of ranks in convex concertina hypercubes.

Examples

			First rows of the triangle:
    k   0    1    2    3    4    5    6
  n
  0     1
  1     1    1
  2     1    3    3    1
  3     1    6   13    6   13    6    1

Links

Crossrefs

Cf. A000696, A300699, A000124.

A046862 Upper members of a "good pair" of the form (k, 2*k +- 1).

Original entry on oeis.org

1, 13, 23, 61, 83, 97, 217, 253, 277, 287, 301, 347, 359, 407, 433, 793, 983, 1021, 1043, 1079, 1093, 1177, 1199, 1367, 1499, 1607, 1859, 1979, 4081, 4093, 4213, 4307, 4381, 4439, 5063, 5387, 5447, 5521, 5999, 7321, 7441, 7477, 12397, 13847, 15899
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

Cf. A046861, A000696.

Extensions

Reference gives 45 terms.
More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005
Offset corrected and title improved by Sean A. Irvine, Apr 29 2021
Showing 1-3 of 3 results.

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

Content is available under The OEIS End-User License Agreement.