Statistical distribution of the Stern sequence
نویسندگان
چکیده
منابع مشابه
Analogs of the Stern Sequence
We present two infinite families of sequences that are analogous to the Stern sequence. Sequences in the first family enumerate the set of positive rational numbers, while sequences in the second family enumerate the set of positive rational numbers with either an even numerator or an even denominator.
متن کاملRefining the Stern Diatomic Sequence
We refine the celebrated Stern Diatomic Sequence {b(n)}n≥0, in which b(n) is the number of partitions of n into powers of 2 for which each part has multiplicity 1 or 2, by studying the sequence {b(n, k)}n,k≥0, in which b(n, k) counts the partitions of n into powers of 2 in which exactly k parts have multiplicity 2, the remaining parts being of multiplicity 1. We find closed formulas for the b(n...
متن کاملSTATISTICAL PREDICTION OF THE SEQUENCE OF LARGE EARTHQUAKES IN IRAN
The use of different probability distributions as described by the Exponential, Pareto, Lognormal, Rayleigh, and Gama probability functions applied to estimation the time of the next great earthquake (Ms≥6.0) in different seismotectonic provinces of Iran. This prediction is based on the information about past earthquake occurrences in the given region and the basic assumption that future seismi...
متن کاملDistribution of Values of the Binomial Coefficients and the Stern Sequence
The distribution of values in a sequence, as seen in counting the number of terms larger than a scalar times the average value is applied to the the Stern sequence and the binomial coefficients. We also show that the suitably scaled logarithms of { ( n k ) : 0 ≤ k ≤ n} converges to a distribution, and prove an implicit formula for the convergent function. We leave an open problem regarding the ...
متن کاملLargest Values for the Stern Sequence
In 1858, Stern introduced an array, later called the diatomic array. The array is formed by taking two values a and b for the first row, and each succeeding row is formed from the previous by inserting c+d between two consecutive terms with values c, d. This array has many interesting properties, such as the largest value in a row of the diatomic array is the (r + 2)-th Fibonacci number, occurr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2019
ISSN: 0010-2571
DOI: 10.4171/cmh/460