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Article: On the Smarandache sequences.(Florentin Smarandache)(Report)
- Article from:
- Scientia Magna
- Article date:
- December 1, 2008
- Author:
CopyrightCOPYRIGHT 2008 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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[section] 1. Introduction and results
For any positive integer n, the Smarandache alternate consecutive and reverse Fibonacci sequence a(n) is defined as follows: a(1) = 1, a(2) = 11, a(3) = 112, a(4) = 3211, a(5) = 11235, a(6) = 853211, a(7) = 11235813, a(8) = 2113853211, a(9) = 112358132134, .... The Smarandache multiple sequence b(n) is defined as: b(1) = 1, b(2) = 24, b(3) = 369, b(4) = 481216, b(5) = 510152025, b(6) = 61218243036, b(7) = 7142128354249, b(8) = 816243240485664, b(9) = 91827364554637281, ....
These two sequences were both proposed by professor F.Smarandache in reference [1], where he asked us to study the properties of these two ...