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.

A097995 Cell populations in the development of the 1 X 5 cell pattern (I-pentomino) with the 2D cellular automaton rule "Seeds" (/2).

Original entry on oeis.org

5, 4, 6, 11, 16, 24, 26, 14, 15, 20, 28, 16, 16, 24, 16, 24, 38, 64, 62, 75, 72, 60, 68, 62, 106, 90, 106, 90, 82, 106, 93, 114, 120, 94, 136, 152, 174, 202, 221, 252, 216, 232, 246, 270, 320, 312, 358, 372, 360, 384, 364, 486, 414, 460, 592, 568, 618, 640, 712, 645
Offset: 0

Views

Author

Oliver Pechenik, Sep 08 2004

Keywords

Examples

			a(0) = 5 because the 1 X 5 row contains 5 cells. a(1) = 4 because 4 cells are neighbors of exactly 2 of the original 5 cells. a(2) = 6 because 6 cells are neighbors of exactly 2 of the previous 4 cells.

Links

Crossrefs

Cf. A097981, A097996.

Extensions

Offset changed by Eric M. Schmidt, Mar 10 2013

A097996 Cell populations in the development of the L-pentomino with the 2D cellular automaton rule "Seeds" (/2).

Original entry on oeis.org

5, 5, 7, 11, 17, 17, 30, 32, 26, 26, 43, 41, 37, 40, 71, 56, 54, 54, 69, 81, 84, 104, 109, 96, 114, 123, 142, 128, 134, 141, 172, 182, 216, 224, 239, 255, 283, 265, 351, 304, 358, 370, 411, 411, 407, 434, 470, 488, 514, 556, 567, 568, 597, 657, 659, 704, 739, 793
Offset: 0

Views

Author

Oliver Pechenik, Sep 08 2004

Keywords

Examples

			a(1)= 5 because the L-pentomino contains 5 cells. a(2)= 5 because 5 cells are neighbors (in a Moore neighborhood) of exactly 2 of the original 5 cells. a(3)= 7 because 7 cells are neighbors of exactly 2 of the previous 5 cells.

Links

Crossrefs

Cf. A097981, A097995.

Extensions

Offset changed by Eric M. Schmidt, Mar 10 2013

A249668 Population of the n-th generation of the pattern 101//010 in the Life Without Death cellular automaton.

Original entry on oeis.org

3, 4, 7, 10, 15, 20, 25, 30, 38, 47, 55, 63, 69, 79, 91, 96, 105, 112, 124, 134, 139, 144, 152, 157, 163, 168, 176, 183, 187, 195, 205, 217, 223, 229, 239, 247, 259, 273, 285, 289, 295, 303, 311, 323, 334, 339, 343, 351, 363, 375, 383, 389, 397, 405, 413, 423
Offset: 0

Views

Author

Eric M. Schmidt, Nov 03 2014

Keywords

Comments

Each generation, a cell turns on if it has exactly three neighbors that are on. Cells never turn off.
This pattern grows indefinitely. No other connected 3-celled pattern does so.

Examples

			Generation 0:
101
010
Generation 1:
111
010
Generation 2:
010
111
111
Generation 3:
111
111
111
010
Generation 4:
00100
01110
11111
01110
01110

Links

Crossrefs

Cf. A097981, A151725, A151731.

Formula

For n >= 2108, a(n+6) = a(n) + 260. - Eric M. Schmidt, Nov 04 2014
For n >= 2115, a(n) = a(n-1) + a(n-6) - a(n-7). - Eric M. Schmidt, Nov 05 2014
Showing 1-3 of 3 results.

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

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