query: Formula for the Tribonacci sequence
positive_passages.docid: 20592
positive_passages.text: How to find the nth term of tribonacci series
negative_passages.docid: 23945
negative_passages.text: Infinite Series: Fibonacci/ $2^n$
negative_passages.docid: 110262
negative_passages.text: Finding a closed formula for $1\cdot2\cdot3\cdots k +\dots + n(n+1)(n+2)\cdots(k+n-1)$
negative_passages.docid: 146746
negative_passages.text: A formula for the sum of the triangular numbers?
negative_passages.docid: 38741
negative_passages.text: Finding a general formula for summation
negative_passages.docid: 57416
negative_passages.text: Fibonacci identity: $f_{n-1}f_{n+1} - f_{n}^2 = (-1)^n$
negative_passages.docid: 62565
negative_passages.text: Prove: the intersection of Fibonacci sequence and Mersenne sequence is just $\{1,3\}$
negative_passages.docid: 98596
negative_passages.text: Find a formula for the nth Fibonacci Number
negative_passages.docid: 75279
negative_passages.text: Reversing the $T(n) = \frac{n(n+1)}{2}$ formula
negative_passages.docid: 109189
negative_passages.text: Periodicity of a triginometric function
negative_passages.docid: 49741
negative_passages.text: Finding a closed form for a recurrence relation $a_n=3a_{n-1}+4a_{n-2}$
negative_passages.docid: 107098
negative_passages.text: Find an explicit formula for the recurrence $a_n = n(a_{n-1} + a_{n-2})$ knowing that $ a_0=1$ and $a_1=2$.
negative_passages.docid: 39739
negative_passages.text: Fibonacci identity: $f_{n+1}f_{n-1} = f_n^2 + (-1)^n$
negative_passages.docid: 115170
negative_passages.text: What is the formula for this numerical series?
negative_passages.docid: 59357
negative_passages.text: How many numbers are in the Fibonacci sequence below a given threshold?
negative_passages.docid: 110441
negative_passages.text: Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
negative_passages.docid: 119891
negative_passages.text: Divisibility and the Fibonacci sequence