(adsbygoogle = window.adsbygoogle || []).push({}); how to find a mathematical formula for these points??

i got these points for this function "b" :

b(0,0)=1

b(1,0)=3

b(1,1)=4

b(2,0)=8

b(0)=1

b(1)=2+1=3

b(2)=4+1+3=8

b(n)=2^n +b(0) +b(1) +b(2) +.. + b(n-2)+b(n-1)

b(n-1)=2^n +b(0) +b(1) +b(2) +.. + b(n-2)

b(n)=b(n-1)+b(n-1) =2*b(n-1)

which by the way is wrong because b(1) doesn't equal to 2* b(0)

b(n)=2*b(n-1)

how to transform it to the formula

b(n,c)=c+(n-2)*2^(n-1)

???

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# Homework Help: How to find a mathematical formula for these points?

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