A118550 Seqs increasing fast then slow then fast then...

[Leroy Quet]

>Leroy,
>These sequences are very interesting.  I used your idea (and I credit it by 
>referencing the sequence in the database) in a web page, 
>http://mcraefamily.com/MathHelp/GeometryFractalSequence.htm . I would be 
>amazed if anyone discovers a closed form for this sequence, since it is so 
>apparently chaotic.
>--Graeme


Thanks for the compliment.

You can also start with other positive integers besides 1. So you could 
have a 3-d graph, where the width is n, the depth is m, and the height is 
a(n,m), where
a(1,m) = m,
a(n,m) = a(n-1,m) + 1, if n is missing from sequence m.
a(n,m) = a(n-1,m) + n, if n is in sequence m.

("Sequence m" is {a(n,m)} with m fixed and n = 0,1,2,3,4,...)

thanks,
Leroy Quet