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math.NT2008★ 3 cited
Typical Dispersion and Generalized Lyapunov Exponents
Steven Finch, Zai-Qiao Bai, Pascal Sebah
Let f(n) denote the number of odd entries in the nth row of Pascal's binomial triangle. We study "average dispersion" and "typical dispersion" of f(n) -- the latter involves comput…
math.NT2008★ 5 cited
Odd Entries in Pascal's Trinomial Triangle
Steven Finch, Pascal Sebah, Zai-Qiao Bai
The nth row of Pascal's trinomial triangle gives coefficients of (1+x+x^2)^n. Let g(n) denote the number of such coefficients that are odd. We review Moshe's algorithm for evaluati…
math.NT2007★ 2 cited
Powers of Euler's q-Series
Steven Finch
What are the asymptotic moments of coefficients obtained when expanding prod_{m=1}^infty (1-q^m)^k in series? A few examples are given, as well as a new multiplicative representati…