eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2019-05-08 7 3 112 114 10.12691/ajams-7-3-5 AJAMS2019735 article Binu K P 1 2 Vinod S 2 2 K Vishnu Namboothiri kvnamboothiri@gmail.com 3 3 Department of Mathematics, Government College for Women, Thiruvananthapuram, Kerala, India Department of Mathematics, Government College, Ambalapuzha, Kerala, India Similar to Fibonacci sequence and Lucas sequences that are recursively defined we define an integer sequence using the Euler totient function ? and study some of its properties. We also verify that the sequence we have defined has some properties similar to Fibonacci sequence, but even then it is not a Lucas sequence. http://pubs.sciepub.com/ajams/7/3/5/ajams-7-3-5.pdf Fibonacci sequence Lucas sequence Euler ? function integer sequences perfect numbers