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 1-5 of 5 results.

A334693 Column k=3 of A334691.

Original entry on oeis.org

0, 8, 32, 152, 252, 572, 900
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, May 18 2020

Keywords

Crossrefs

Cf. A334691, A334693.

A334692 Column k=2 of A334691.

Original entry on oeis.org

1, 20, 204, 616, 2428, 3968, 11164
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, May 18 2020

Keywords

Crossrefs

Cf. A334691, A334693.

A334690 a(n) is the number of points in the interior of the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter).

Original entry on oeis.org

1, 29, 245, 801, 2737, 4801, 12265, 19209, 33513, 49537, 87641, 101933, 178413, 220057, 286297, 379033, 551601, 606169, 880217, 951365, 1208965, 1507433, 1947785, 2002573, 2624309, 3055989, 3550317, 3954937, 5068921, 5062033, 6669541, 7081841, 8143061, 9364953, 10296329, 10918073, 13772225, 14842297, 16312317
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, May 17 2020

Keywords

Comments

a(n) = A331449(n) - 4*n. Computed from Lars Blomberg's b-file for A331449.

Links

Crossrefs

Cf. A255011, A331448, A331449.
These are the sums of the rows in A334691.

A334699 Triangle read by rows: T(n,k) (n >= 1, 3 <= k <= n+2) = number of k-sided cells in the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter).

Original entry on oeis.org

4, 48, 8, 204, 112, 24, 680, 384, 56, 0, 1660, 1072, 448, 76, 8, 3416, 2392, 400, 56, 0, 0, 6348, 5236, 1840, 504, 40, 0, 0, 11048, 8624, 2800, 408, 24, 0, 0, 0, 17708, 14976, 4960, 1004, 96, 4, 0, 0, 0, 27520, 22200, 7104, 1288, 136, 8, 0, 0, 0, 0, 40388, 35832, 15080, 3808, 488, 60, 0, 0, 0, 0, 0
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, May 18 2020

Keywords

Comments

No formula is known.
For further illustrations see A331452.

Examples

			Triangle begins:
      4;
     48,     8;
    204,   112,    24;
    680,   384,    56,    0;
   1660,  1072,   448,   76,    8;
   3416,  2392,   400,   56,    0,   0;
   6348,  5236,  1840,  504,   40,   0,  0;
  11048,  8624,  2800,  408,   24,   0,  0, 0;
  17708, 14976,  4960, 1004,   96,   4,  0, 0, 0;
  27520, 22200,  7104, 1288,  136,   8,  0, 0, 0, 0;
  40388, 35832, 15080, 3808,  488,  60,  0, 0, 0, 0, 0;
  57360, 47160, 13856, 2272,  296,  16,  0, 0, 0, 0, 0, 0;
  79108, 73572, 30800, 7788, 1152, 200, 16, 0, 0, 0, 0, 0, 0;
...

Links

Crossrefs

Cf. A255011 (row sums), A331452, A331449, A334690, A334691, A334695, A334696, A334700.

Extensions

a(29) and beyond by Scott R. Shannon, Feb 18 2021

A334700 Triangle read by rows: T(n,k) (n >= 1, 3 <= k <= n+2) = one-quarter of the number of k-sided cells in the n-th figure shown in A255011 (meaning the figure with 4n points on the perimeter).

Original entry on oeis.org

1, 12, 2, 51, 28, 6, 170, 96, 14, 0, 415, 268, 112, 19, 2, 854, 598, 100, 14, 0, 0, 1587, 1309, 460, 126, 10, 0, 0
Offset: 1

Views

Author

Scott R. Shannon and N. J. A. Sloane, May 18 2020

Keywords

Comments

This is the triangle in A334699 with all entries divided by 4.
No formula is known.
For illustrations see A331452.

Examples

			Triangle begins:
1,
12, 2,
51, 28, 6,
170, 96, 14, 0,
415, 268, 112, 19, 2,
854, 598, 100, 14, 0, 0,
1587, 1309, 460, 126, 10, 0, 0
...

Links

Crossrefs

Cf. A255011, A331452, A331449, A334690, A334691, A334695, A334696, A334699.
Showing 1-5 of 5 results.

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

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