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A160418
a(n) = A160407(n+2)/2.
1
1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 3, 5, 4, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 2, 3, 5, 5, 6, 10, 13, 9, 6, 10, 14, 15, 21, 32, 33, 16, 1, 1, 2, 2, 2, 3, 5, 4, 2, 3, 5, 5, 6, 10, 13, 8, 2, 3, 5, 5
OFFSET
1,5
COMMENTS
Row lengths are the terms of A000079 multiplied by 2. Right border gives A000079. - Omar E. Pol, Mar 19 2020
LINKS
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]
EXAMPLE
From Omar E. Pol, Mar 19 2020: (Start)
Triangle begins:
1,1;
1,1,2,2;
1,1,2,2,2,3,5,4;
1,1,2,2,2,3,5,4,2,3,5,5,6,10,13,8;
1,1,2,2,2,3,5,4,2,3,5,5,6,10,13,8,2,3,5,5,6,10,13,9,6,10,14,15,21,32,33,16;
... (end)
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, May 23 2009
EXTENSIONS
More terms from Jinyuan Wang, Mar 14 2020
STATUS
approved