Difference between revisions of "T(n)^2=T(T(n))+T(T(n)-1)"
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(Created page with "==Theorem== The following formula holds for $n=2,3,4,\ldots$: $$T(n)^2=T(T(n))+T(T(n-1)),$$ where $T(n)$ denotes the $n$th triangular number. ==Proof==...") |
m (Tom moved page T(n)^2=T(T(n))+T(T(n-1)) to T(n)^2=T(T(n))+T(T(n)-1)) |
(No difference)
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Revision as of 01:26, 30 May 2017
Theorem
The following formula holds for $n=2,3,4,\ldots$: $$T(n)^2=T(T(n))+T(T(n-1)),$$ where $T(n)$ denotes the $n$th triangular number.
