Progressions Of Progrssions

Algebra Level 4

12345678910\large{ \begin{matrix} 1 & & & \\ 2 & 3 & & \\ 4 & 5 & 6 & \\ 7 & 8 & 9 & 10 \\ \vdots \end{matrix}}

Natural numbers 1,2,3,1,2,3,\ldots are placed in a triangle as shown in the above figure. Determine the sum of the numbers in the 2016th2016^{\text{th}} row.

Enter your answer as the last three digits of the number.

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