MathDB

Consider the configurations of integers

a_{1,1}

a_{2,1} a_{2,2} a_{3,1} a_{3,2} a_{3,3} \dots \dots \dots a_{2017,1} a_{2017,2} a_{2017,3} \dots a_{2017,2017} Where

a_{i,j} = a_{i+1,j} + a_{i+1,j+1}

for all

i,j

such that

1 \leq j \leq i \leq 2016

. Determine the maximum amount of odd integers that such configuration can contain.

3