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A233777
Number of vertices in the n-th row of the toothpick structure of A233776, with a(0) = 1.
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
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
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Dec 25 2013
STATUS
approved