1,2

As a fractal sequence, A163256 contains every positive integer;

indeed, A163256 properly contains itself (infinitely many times).

Clark Kimberling, "Doubly interspersed sequences, double interspersions, and fractal sequences," preprint, 2009.

Append the following segments:

1 2 3

1 2 4 3 5

1 2 4 6 3 5 7

1 2 4 6 8 3 5 7 9

For n>1, the nth segment arises from the (n-1)st by

inserting 2*n at position n+1 and appending 2*n+1 at

position 2*n+1.

A163253, A163254, A163255, A163257, A163258.

Sequence in context: A029271 A035459 A048232 this_sequence A144962 A166871 A152736

Adjacent sequences: A163253 A163254 A163255 this_sequence A163257 A163258 A163259

nonn

Clark Kimberling (ck6(AT)evansville.edu), Jul 24 2009