| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Outline of Final Research Achievements |
Let $(X,\cdot)$ be a magma. A map $a:{\mathbb Z}\to X$ is a right-recursive sequence if $a(n)\cdot a(n+1)=a(n+2)$ for every $n\in{\mathbb Z}$. A map $a:{\mathbb Z}\to X$ is a left-recursive sequence if $a(n+2)=a(n+1)\cdot a(n)$ for every $n\in{\mathbb Z}$. When $(X,\cdot)=({\mathbb Z},+)$ a right-recursive sequence is a left-recursive sequence and it is a Fibonacci type sequence defined on ${\mathbb Z}$. We study various right-recursive sequences and left-recursive sequences. We also study various surjective right-recursive sequences and left-recursive sequences.
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