Iterates of increasing sequences of positive integers

作者：Laohakosol Vichian^*; Yuttanan Boonrod

来源：Aequationes Mathematicae, 2014, 87(1-2): 89-103.

DOI：10.1007/s00010-012-0175-5

• Functional equation
• integer sequences
• iteration
• increasing sequences

It is proved that for fixed integers K >= 2, D >= 2, if ( D - 1) | K, then there exists a unique increasing sequence (a(n)) (n >= K) of positive integers such that
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otherwise, there are uncountably many increasing sequences of positive integers (a(n)) satisfying this iterated functional equation. This generalizes recent results of Propp and Allouche-Rampersad-Shallit.

• 出版日期2014-3