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.

A350633 First differences of A350632.

Original entry on oeis.org

0, 1, 8, 12, 24, 12, 28, 36, 56, 12, 28, 36, 76, 44, 92, 92, 164, 16, 28, 36, 76, 44, 92, 92, 196, 76, 108, 116, 204, 180, 236, 228, 424, 36, 28, 36, 76, 44, 92, 92, 196, 76, 108, 116, 204, 180, 236, 228, 492, 156, 156, 156, 252, 220, 284, 268, 540, 316, 348
Offset: 0

Views

Author

Rémy Sigrist, Jan 08 2022

Keywords

Comments

Equivalently, a(n) is the number of cells turned ON at stage n of the cellular automaton described in A350632.

Examples

			The first 5 generations can be depicted as follows:
         . . . . . . . . . . .
         . 5 5 . . . . . 5 5 .
         . 5 4 4 4 4 4 4 4 5 .
         . . 4 3 3 . 3 3 4 . .
         . . 4 3 2 2 2 3 4 . .
         . . 4 . 2 1 2 . 4 . .
         . . 4 3 2 2 2 3 4 . .
         . . 4 3 3 . 3 3 4 . .
         . 5 4 4 4 4 4 4 4 5 .
         . 5 5 . . . . . 5 5 .
         . . . . . . . . . . .
- so a(0) = 0,
     a(1) = 1,
     a(2) = 8,
     a(3) = 12,
     a(4) = 24,
     a(5) = 12.

Links

Crossrefs

Cf. A161415, A256531, A350632.

A350639 a(n) is the number of connected components in the set of cells added at stage n of the cellular automaton described in A350632.

Original entry on oeis.org

0, 1, 1, 4, 1, 4, 4, 12, 1, 4, 4, 12, 4, 20, 12, 36, 9, 8, 4, 12, 4, 20, 12, 36, 12, 20, 20, 36, 28, 52, 36, 92, 25, 16, 4, 12, 4, 20, 12, 36, 12, 20, 20, 36, 28, 52, 36, 92, 28, 36, 28, 52, 36, 68, 44, 108, 52, 76, 76, 100, 84, 140, 92, 228, 89, 56, 4, 12, 4
Offset: 0

Views

Author

Rémy Sigrist, Jan 09 2022

Keywords

Comments

We only consider cells turned ON at stage n (and that were OFF in prior stages).

Examples

			The first 5 generations can be depicted as follows:
        +-------+                   +-------+
        | 5     |                   | 5     |
        |   +---+-------------------+---+   |
        |   | 4                         |   |
        +---+   +-------+---+-------+   +---+
            |   | 3     |   | 3     |   |
            |   |   +---+---+---+   |   |
            |   |   | 2         |   |   |
            |   +---+   +---+   +---+   |
            |   |   |   | 1 |   |   |   |
            |   +---+   +---+   +---+   |
            |   | 3 |           |   |   |
            |   |   +---+---+---+   |   |
            |   |       |   | 3     |   |
        +---+   +-------+---+-------+   +---+
        | 5 |                           |   |
        |   +---+-------------------+---+   |
        |       |                   | 5     |
        +-------+                   +-------+
- so a(0) = 0,
     a(1) = 1,
     a(2) = 1,
     a(3) = 4,
     a(4) = 1,
     a(5) = 4.

Links

Crossrefs

Cf. A350632.

A350727 a(n) = (A350632(n) - 1) / 4.

Original entry on oeis.org

0, 2, 5, 11, 14, 21, 30, 44, 47, 54, 63, 82, 93, 116, 139, 180, 184, 191, 200, 219, 230, 253, 276, 325, 344, 371, 400, 451, 496, 555, 612, 718, 727, 734, 743, 762, 773, 796, 819, 868, 887, 914, 943, 994, 1039, 1098, 1155, 1278, 1317, 1356, 1395, 1458, 1513
Offset: 1

Views

Author

Rémy Sigrist, Jan 11 2022, after a suggestion from Hugo Pfoertner

Keywords

Examples

			a(8) = (A350632(8) - 1) / 4 = (177 - 1) / 4 = 44.

Links

Crossrefs

Cf. A350632.
Showing 1-3 of 3 results.

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

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