Posted by samantha on .
Look over the following sequence of numbers. What are the next 3 numbers in the pattern?what is the pattern rule?
1,0,1,0,1,2,3,6,11,20,37

math patterning 
MathMate,
This is (probably) a series with a recurrence relation:
a(n)=a(n3)+a(n2)+a(n1)
Try
0=1+0+1
1=0+1+0
2=1+0+1
...
37=6+11+20
Some call this tribonacci numbers, from
Fibonacci numbers where
a(n)=a(n2)+a(n1) 
math patterning 
Anonymous,
Thanks so much

math patterning 
Anonymous,
How do get the three numbers relative I understand that the number u get is the first to add for the next in the pattern?

math patterning 
Anonymous,
Are the three numbers 63. 89. 115???????

math patterning 
MathMate,
Basically, you add the three last numbers to get the next, for example,
2+3+6=11, ...
So the next number is:
11+20+37 = 68
20+37+68 = ?
...