Summation of Rational Series Twisted by Strongly $B$-multiplicative Coefficients
نویسندگان
چکیده
منابع مشابه
Summation of Rational Series Twisted by Strongly $B$-multiplicative Coefficients
We evaluate in closed form series of the type ∑ u(n)R(n), with (u(n))n a strongly B-multiplicative sequence and R(n) a (well-chosen) rational function. A typical example is: ∑ n>1 (−1)2 4n+ 1 2n(2n+ 1)(2n+ 2) = − 4 where s2(n) is the sum of the binary digits of the integer n. Furthermore closed formulas for series involving automatic sequences that are not strongly B-multiplicative, such as the...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2015
ISSN: 1077-8926
DOI: 10.37236/4630