Difference between revisions of "T(n)^2=T(T(n))+T(T(n)-1)"
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==Theorem== | ==Theorem== | ||
The following formula holds for $n=2,3,4,\ldots$: | The following formula holds for $n=2,3,4,\ldots$: | ||
| − | $$T(n)^2=T(T(n))+T(T(n-1 | + | $$T(n)^2=T(T(n))+T(T(n)-1),$$ |
where $T(n)$ denotes the $n$th [[triangular numbers|triangular number]]. | where $T(n)$ denotes the $n$th [[triangular numbers|triangular number]]. | ||
Revision as of 01:26, 30 May 2017
Theorem
The following formula holds for $n=2,3,4,\ldots$: $$T(n)^2=T(T(n))+T(T(n)-1),$$ where $T(n)$ denotes the $n$th triangular number.
