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).
Hofstadter Sequences
See also
Hofstadter-Conway $10,000 Sequence, Hofstadter's Q-Sequence, Sum-Free SetExplore with Wolfram|Alpha
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."Referenced on Wolfram|Alpha
Hofstadter SequencesCite this as:
Weisstein, Eric W. "Hofstadter Sequences." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HofstadterSequences.html