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The Golden Shell Hofstadter Recurrence

The golden shell s(n)=floor((n+1)/phi) satisfies the Hofstadter G recurrence s(n)=n-s(s(n-1)).

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THEOREM

The golden shell satisfies the Hofstadter G self-referential recurrence

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The Golden Shell Hofstadter RecurrenceThe Golden Shell HofstadterRecurrence
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S1
Domain
Phase
Node ID
D5/S1/Phase/SelfReference/GoldenShellRecurrence
Repository path
D5/S1/Phase/SelfReference/GoldenShellRecurrence.lean
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sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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