Ternary Modified Collatz Sequences And Jacobsthal Numbers
Ji Young Choi
Department of Mathematics
Shippensburg University of Pennsylvania
1871 Old Main Drive
Shippensburg, PA 17257
We show how to apply the Collatz function and the modified Collatz
function to the ternary representation of a positive integer, and we
present the ternary modified Collatz sequence starting with a multiple
for an arbitrary large integer N. Each ternary string in the
sequence is shown to have a repeating string, and the number of
occurrences of each digit in each repeating string is identified as a
Jacobsthal number, or one more or one less than a Jacobsthal number.
Full version: pdf,
(Concerned with sequences
Received December 23 2015; revised versions received January 7 2016;
August 31 2016; September 2 2016.
Published in Journal of Integer Sequences, September 7 2016.
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