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.

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A266536 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A170896.

Original entry on oeis.org

0, 1, 2, 3, 6, 7, 10, 13, 16, 21, 24, 29, 36, 39, 42, 45, 50, 57, 62, 71, 80, 91, 102, 111, 124, 137, 144, 151, 158, 167, 178, 189, 206, 223, 242, 261, 276, 293, 310, 327, 344, 359, 368, 385, 402, 423, 448, 467, 486, 509, 526, 547, 570, 595, 630, 655, 688, 717, 742, 763, 782, 809, 844, 871, 896, 921, 954, 977, 1016, 1059
Offset: 0

Views

Author

Omar E. Pol, Jan 12 2016

Keywords

Comments

The structure looks like a tree which arises from one of the four spokes of the structure of the cellular automaton of A170896.
a(n) is the total number of ON cells after n-th stage.
For n >> 1 the structure looks like a square which is rotated 45 degrees.
First differs from both A161336 (snowflake tree) and A266534 at a(13).

Links

Crossrefs

Cf. A161336, A169779, A170896, A266534, A267700.

Formula

a(n) = (A170896(n+1) - 1)/4.

A256536 Corner sequence associated with A151723.

Original entry on oeis.org

1, 4, 9, 18, 27, 36, 53, 78, 95, 104, 121, 150, 187, 220, 261, 318, 351, 360, 377, 406, 443, 480, 533, 618, 703, 752, 793, 866, 967, 1060, 1161, 1286, 1351, 1360, 1377, 1406, 1443, 1480, 1533, 1618, 1703, 1756, 1809, 1902, 2035, 2176, 2325, 2522, 2703, 2784, 2825, 2898, 2999, 3108, 3249, 3470, 3723, 3896, 4013, 4186, 4435, 4672, 4909, 5174, 5303
Offset: 1

Views

Author

Omar E. Pol, Apr 01 2015

Keywords

Comments

Total number of ON cells after n generations in one of the outside corners of an infinite hexagon-shaped structure on hexagonal grid.
For an animation see "The movie version" in Links section.
Partial sums of A256537.
See also the Formula section in A256537.
Compare A256138.

Links

Crossrefs

Cf. A151723, A153006, A169779, A256138, A256537.
Previous Showing 11-12 of 12 results.

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