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0 2 3 6 7 1 sequence?

Updated: 9/16/2023
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14y ago

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Here is a rule (which works in English, but perhaps in no other language) to recover the desired sequence: 0=zero, 1=one, 2=two, 3=three, 4=four, 5=five, 6=six, 7=seven, 8=eight, 9=nine. Now rearrange in inverse alphabetical order: zero=0, two=2, three=3, six=6, seven=7, one=1, nine=9, four=4, five=5, eight=8.

You can also use an interpolating polynomial, which summarises the values in a single formula. If x takes on values from 1 to 6, the sequence can be recovered with:
((((6x-119)x+801)x-2194)x+2280)(x-1)/120

There may be better ways to generate the 6 numbers.

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Q: 0 2 3 6 7 1 sequence?
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