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A138684
First differences of A138683.
1
1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 6, 1, 3, 1, 1, 4, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 3, 1, 1, 4, 1
OFFSET
1,2
COMMENTS
The graph of this sequence is fractal-like.
Conjecture. Let x(1)=1, x(2)=2, x(n) = 2*x(n-1) + x(n-2), and let y(1)=1, y(2)=3, y(n) = y(n-1) + y(n-2). Then if n=x(k), a(n)=y(k); if x(k) < n < 2*x(k), a(n) = a(n-x(k)); and if 2*x(k) <= n < x(k+1), a(n)=1. (This has been confirmed for n < 500.) - John W. Layman, Nov 26 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
John W. Layman, Mar 26 2008
STATUS
approved