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c++ Programming Glossary: recurrenceI want to generate the nth term of the sequence 1,3,8,22,60 ,164 in Order(1) or order of (nlogn) http://stackoverflow.com/questions/11301992/i-want-to-generate-the-nth-term-of-the-sequence-1-3-8-22-60-164-in-order1-or You can calculate values of sequences with a linear recurrence relation in O log n steps using the matrix method. In this case.. in O log n steps using the matrix method. In this case the recurrence matrix is 2 2 1 0 The n th term of the sequence is then obtained.. n th power of that matrix with the two initial values. The recurrence immediately translates to x_n 2 2 x_ n 1 x_ n 1 1 0 x_ n 2 thus..
How to speed up series generation? http://stackoverflow.com/questions/11381277/how-to-speed-up-series-generation special_prime 1000000007 Using generating function for the recurrence 1 if n 1 a_n 3 if n 2 2a_ n 1 2a_ n 2 if n 2 This method is..
Sum of products of Fibonacci numbers [closed] http://stackoverflow.com/questions/12248587/sum-of-products-of-fibonacci-numbers numbers like all numbers in a sequence defined by a linear recurrence can be written as the sum of pure exponential terms in particular.. numbers I also use the Lucas numbers which follow the same recurrence as the Fibonacci numbers Luc n α^n β^n so the sequence of Lucas..
The amortized complexity of std::next_permutation? http://stackoverflow.com/questions/4973077/the-amortized-complexity-of-stdnext-permutation Let us count the total number of swaps done. We get the recurrence relation T n 1 n 1 T n &Theta n 2 n 1 T n comes from fixing..
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