Sela Fried
Publications
-
S. Fried, Proofs of several conjectures from the OEIS, Journal of Integer Sequences 28 (4), 2025.
-
S. Fried, Solving the Tower of Hanoi with heavy disks, American Mathematical Monthly, 2025.
-
S. Fried, T. Mansour, and M. Shattuck, Counting k-ary words by number of adjacency differences of a prescribed size, to appear in Journal of Combinatorics, 2025.
-
S. Fried and T. Mansour, Random walk labelings of perfect trees and other graphs, Quaestiones Mathematicae 48 (6), 2025.
-
S. Fried and T. Mansour, Counting r × s rectangles in (Catalan) words, Discrete Applied Mathematics 365, 2025.
-
S. Fried, Counting rectangles of size r × s in nondecreasing and Smirnov words, Journal of Integer Sequences 27 (8), 2024.
-
S. Fried and T. Mansour, On the maximal sum of the entries of a matrix power, to appear in Art of Discrete and Applied Mathematics, 2024.
-
S. Fried and T. Mansour, Further results on random walk labelings, Discrete Applied Mathematics 353, 2024.
-
S. Fried, Problem, to appear in the College Mathematics Journal, May 2025.
-
S. Fried and T. Mansour, The total number of descents and levels in (cyclic) tensor words, Discrete Mathematics Letters 13, 2024.
-
S. Fried and T. Mansour, Staircase graph words, FILOMAT, 38 (18) 2024.
-
S. Fried and T. Mansour, Graph labelings obtainable by random walks, Art of Discrete and Applied Mathematics 7 (1), 2024.
-
S. Fried, 12497, American Mathematical Monthly 131 (10), 2024.
-
S. Fried and D. Haran, Θ-Hilbertianity and strong Θ-Hilbertianity, Israel Journal of Mathematics 257 (1), 2023.
-
S. Fried, On the α-lazy version of Markov chains in estimation and testing problems, Statistical Inference for Stochastic Processes 26 (2), 2023.
-
S. Fried, The minimal sum of squares over partitions with a nonnegative rank, Annals of Combinatorics 27, 2023.
-
S. Fried, The expected degree of noninvertibility of compositions of functions, Journal of Integer Sequences 25 (8), 2022.
-
S. Fried and G. Wolfer, Identity testing of reversible Markov chains, Int. Conf. on Artificial Intelligence and Statistics (AISTATS), 2022.
-
S. Fried, On the coefficients of the distinct monomials in the expansion of $x_1(x_1 + x_2)\cdots(x_1 + x_2 + \cdots + x_n)$, Journal of Integer Sequences 25 (4), 2022.
-
S. Fried, The restrictiveness of the hazard rate order and the moments of the maximal coordinate of a random vector uniformly distributed on the probability $n$-simplex, Statistics & Probability Letters 185, 2022.
-
S. Fried, On the restrictiveness of the usual stochastic order and the likelihood ratio order, Statistics & Probability Letters 170, 2021.
-
S. Fried and D. Haran, Θ-Hilbertianity, Journal of Algebra 555, 2020.
-
S. Fried and D. Haran, Quasi-formations, Israel Journal of Mathematics 229 (1), 2019.
Preprints
-
S. Fried, A formula for the number of up-down words, 2025.
-
S. Fried, Further results on staircase (cyclic) words, 2025.
-
S. Fried, Further results on staircase graph words, 2025.
-
S. Fried, On a conjecture of McNeil, 2023.​
Miscellaneous
-
The beauty of Beatty sequences - Part II, 2023. (~50 MB)
-
Contributions to the On-Line Encyclopedia of Integer Sequences (only new sequences are listed):
-
A347815 - Prime numbers p such that both 30 and 105 are quadratic nonresidue (mod p).
-
A347816 - Prime numbers p such that both 15 and 85 are quadratic nonresidue (mod p).
-
A347917 - The coefficients in the expansion x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n), given row by row.
-
A349404 - The maximal coefficient in the expansion of x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n).
-
A353044 - a(n) is the minimal sum of squares over partitions of n with a nonnegative rank.
-
A354528 - Square array T(m,n) read by antidiagonals - see Comments for definition.
-
A354529 - a(1) = 3, a(2) = 12 and a(n) = (3n^2+8n-2)/2 if n is even or = (3n^2+8n-5)/2, if n is odd, for n >= 3.
-
A356480 - a(n) is the minimal number of river crossings necessary to solve the missionaries and cannibals problem for n missionaries and n cannibals where the boat capacity is the minimum necessary to allow a solution.
-
A356658 - The number of orderings of the hypercube Q_n whose disorder number is equal to the disorder number of Q_n.
-
A358035 - a(n) = (8n^3 + 12n^2 + 4n - 9)/3.
-
A364777 - a(n) = (n^2)!*(n!)^2/(2*n-1)!.
-
A368539 - Maximal sum of elements of A^2 where A is a square matrix of size n whose elements are a permutation of {1, 2, ..., n^2}.
-
A384616 - A(m,n) is the maximum sum of absolute differences of the labels of adjacent vertices of the grid graph P_m X P_n where the m*n labels are exactly 1, 2, ..., mn.
-