H. G. Grundman
Department of Mathematics
Bryn Mawr College
Bryn Mawr, PA 19010
We generalize the concept of happy number as follows.
be a sequence with
, then we say that
a semihappy number
or, more precisely, an
In this paper, we determine fixed points and cycles of the functions
and discuss heights of semihappy numbers.
We also prove that for each choice of
there exist arbitrarily long finite sequences of consecutive
Full version: pdf,
(Concerned with sequence
Received April 7 2010;
revised version received April 12 2010.
Published in Journal of Integer Sequences, April 15 2010.
Journal of Integer Sequences home page