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
Examples
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;