A233777 Number of vertices in the n-th row of the toothpick structure of A233776, with a(0) = 1.

1, 1, 2, 2, 3, 2, 4, 4, 5, 2, 4, 4, 6, 4, 8, 8, 9, 2, 4, 4, 6, 4, 8, 8, 10, 4, 8, 8, 12, 8, 16, 16, 17, 2, 4, 4, 6, 4, 8, 8, 10, 4, 8, 8, 12, 8, 16, 16, 18, 4, 8, 8, 12, 8, 16, 16, 20, 8, 16, 16, 24, 16, 32, 32, 33, 2, 4, 4, 6, 4, 8, 8, 10, 4, 8, 8, 12

Offset

0,3

Links

Table of n, a(n) for n=0..76.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to toothpick sequences

Example

Illustration of initial terms:
---------------------------------------------------------
. A001316 A006046         Diagram          a(n)  A233776
---------------------------------------------------------
.            0
.                            *               1       1
.    1       1               |
.                            *               1       2
.    2       3              / \
.                          *   *             2       4
.    2       5             |   |
.                          *   *             2       6
.    4       9            / \ / \
.                        *   *   *           3       9
.    2      11           |       |
.                        *       *           2      11
.    4      15          / \     / \
.                      *   *   *   *         4      15
.    4      19         |   |   |   |
.                      *   *   *   *         4      19
.    8      27        / \ / \ / \ / \
.                    *   *   *   *   *       5      24
.    2      29       |               |
.                    *               *       2      26
.    4      33      / \             / \
.                  *   *           *   *     4      30
.
Written as an irregular triangle the sequence begins:
1;
1;
2;
2,3;
2,4,4,5;
2,4,4,6,4,8,8,9;
2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,17;
2,4,4,6,4,8,8,10,4,8,8,12,8,16,16,18,4,8,8,12,8,16,16,20,8,16,16,24,16,32,32,33;

Crossrefs

Cf. A001316, A139251, A194271, A194441, A233775, A233776.

Sequence in context: A332436 A165418 A307797 * A048620 A291271 A308318

Adjacent sequences: A233774 A233775 A233776 * A233778 A233779 A233780

Keyword

nonn,tabf

Author

Omar E. Pol, Dec 25 2013

Status

approved