On a problem of Erdos and Graham
In this paper we shall answer a question of Erdos and Graham (1980, p. 18) concerning sums of integer sequences. Furthermore, we shall examine for what sequences (ri, ci)∞i=1 it is true that if B = (bi) is a sequence of natural numbers such bi+1≥ribi - ci then, for some sequence A = (ai)∞i=1 of natural numbers with 2≤ai+1 - ai≤3, we have (A + A) ∩ B ≠ ∅.
Bollobás, B., Hegyvári, N., & Jin, G. (1997). On a problem of Erdos and Graham. Discrete Mathematics, 175 (1-3), 253-257. https://doi.org/10.1016/S0012-365X(96)00122-7