finite differences
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1
2nd difference1st differenceax^2 + bx + cxf(x)1st difference2nd difference
2
a·0 + b·0 + c00
3
a·1 + b·1a·1 + b·1 + c111
4
a·2a·3 + b·1a·4 + b·2 + c2321
5
a·2a·5 + b·1a·9 + b·3 + c3631
6
a·2a·7 + b·1a·16 + b·4 + c41041
7
a·2a·9 + b·1a·25 + b·5 + c51551
8
a·2a·11 + b·1a·36 + b·6 + c62161
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10
a·0 + b·0 + c=0
11
a·1 + b·1 + c=1
12
a·4 + b·2 + c=3
13
a·9 + b·3 + c=6
14
a·16 + b·4 + c=10
15
a·25 + b·5 + c=15
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a·36 + b·6 + c=21
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a·1 + b·1=1
18
a·3 + b·1=2
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a·5 + b·1=3
20
a·7 + b·1=4
21
a·9 + b·1=5
22
a·11 + b·1=6
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a·2=1
24
a·2=1
25
a·2=1
26
a·2=1
27
a·2=1
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