A138684 First differences of A138683.

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

Links

Table of n, a(n) for n=1..105.

Crossrefs

Cf. A114889, A114890, A138683.

Sequence in context: A030184 A284373 A104610 * A132442 A364082 A074927

Adjacent sequences: A138681 A138682 A138683 * A138685 A138686 A138687

Keyword

nonn

Author

John W. Layman, Mar 26 2008

Status

approved