Hofstadter Sequences

Let and and for , let be the least Integer which can be expressed as theSum of two or more consecutive terms. The resulting sequence is 1, 2, 3, 5, 6, 8, 10, 11, 14, 16, ...(Sloane's 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, ... (Sloane's 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. SequencesA005243/M0623and A00524/M0705in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

• Diminished Polyhedron
• Diminished Rhombicosidodecahedron
• Dini Expansion
• Dini's Surface
• Dini's Test
• Dinitz Problem
• Diocles's Cissoid
• Diophantine Equation
• Diophantine Equation--10th Powers
• Diophantine Equation--5th Powers
• Diophantine Equation--6th Powers
• Diophantine Equation--7th Powers
• Diophantine Equation--8th Powers
• Diophantine Equation--9th Powers
• Diophantine Equation--Cubic
• Diophantine Equation--Linear
• Diophantine Equation nth Powers
• Diophantine Equation--Quadratic
• Diophantine Equation--Quartic
• Diophantine Quadruple
• Diophantine Set
• Diophantus Property
• Diophantus' Riddle
• Dipyramid
• Dirac Delta Function