I tested it for FIBO(SEQUENCE(10000)) and in the worst-case scenario, it took 20ms, so it serves to get a single Fibonacci number or a series.Short, no recursive, and low computation effort. It reminds me of this heuristic rule that I heard once, :-): T+S+H=C Thinking (T) p...
The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers. The...
A generating function for an arbitrary sequence an is the infinite sum Σnanxn. In the specific case of the Fibonacci numbers, that means ΣnFib(n)xn. In words, it's an infinite power series, with the coefficient of xn being the nth Fibonacci number. Now, Fib(n+2)=Fib(n+1)+Fib(n...
It is well-known that in Qd a given edge lies in d−1 cycles of length 4. Among the 4-cycles containing the edge x1x2, one contains b and another contains c. This means that there are d−3 cycles of length 4 containing the edge x1x2 in Qd(f). Among the 4-cycles containing...
In this instance, the scanned array does not figure in the calculation so the function could be simplified, but at the cost of generality. For the Fibonacci series only one column of the results is needed, so =LET(k,SEQUENCE(n-1),f,SCANV({1,1},k,Fibonacciλ),TAKE(f,,-1)) ...
In this post, I would like to explain how I have used Lambda to create a function to generate a Fibonacci series array. This example can also be used to understand how to create an array where th... Indeed, the same Binet formula was mentioned in the original reply toViz's comment f...