MathDB
sequence with sum 2020, no number and no sum of set of consecutives =3

Source: Tournament of Towns, Junior O-Level , Spring 2019 p1

May 9, 2020
combinatoricsSumconsecutiveTournament of TownsToT

Problem Statement

Consider a sequence of positive integers with total sum 2020 such that no number and no sum of a set of consecutive numbers is equal to 33. Is it possible for such a sequence to contain more than 1010 numbers?
(Alexandr Shapovalov)