Hofstadter Sequences

Let  and  and for , let  be the least integer  which can be expressed as the sum of two or more consecutive terms. The resulting sequence is 1, 2, 3, 5, 6, 8, 10, 11, 14, 16, ... (OEIS A005243). Let  and , form all possible expressions of the form  for , and append them. The resulting sequence is 2, 3, 5, 9, 14, 17, 26, 27, ... (OEIS A005244).

REFERENCES:

Guy, R. K. "Three Sequences of Hofstadter." §E31 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 231-232, 1994.

Sloane, N. J. A. Sequences A005243/M0623 and A005244/M0705 in "The On-Line Encyclopedia of Integer Sequences."