Sunday Times Teaser 2607 – Tribonacci
by H Bradley and C Higgins
Published: 9 September 2012 (link)
I have been experimenting with sequences of numbers in which each number after the third is the sum of the previous three numbers.
My first three numbers are always different positive whole numbers in increasing order.
I have found such a sequence in which only the first five numbers are below 100 and for which 10000 occurs later in the sequence.
What are my first three numbers?