11 Feb
2015
11 Feb
'15
1:57 p.m.
On Feb 11, 2015, at 11:20 AM, Daniel Asimov <asimov@msri.org> wrote:
(**) f = c_1 / 2! + c_2 / 3! + . . . + c_k / k! + . . . with 0 <= c_j <= j for all j
This was in the American Mathematical Monthly ca. 1964, and just happened to be something I was working on at the time: PUZZLE: Suppose that in (**) the coefficients c_j are periodic: For some n and for all j, c_(j+n) = c_n . Evaluate the fraction f in terms of c_1, . . ., c_n. --Dan