math patterning

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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 -

    This is (probably) a series with a recurrence relation:
    a(n)=a(n-3)+a(n-2)+a(n-1)
    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(n-2)+a(n-1)

  • math patterning -

    Thanks so much

  • math patterning -

    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 -

    Are the three numbers 63. 89. 115???????

  • math patterning -

    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 = ?
    ...

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