In number system, Sylvester’s sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. Given a positive integer N. The task is to print the first N member of the sequence.
Since numbers can be very big, use %10^9 + 7.
Input : N = 6 Output : 2 3 7 43 1807 3263443 Input : N = 2 Output : 2 3
The idea is to run a loop and take two variables and initialise them as 1 and 2, one to store the product till now and other to store the current number which is nothing but the first number + 1 and for each step multiply both using arithmetic modular operation i.e (a + b)%N = (a%N + b%N)%N where N is a modular number.
Below is the implementation of this approach:
2 3 7 43 1807 3263443
This article is contributed by Anuj Chauhan. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
- Sum of the sequence 2, 22, 222, .........
- Look-and-Say Sequence
- Connell Sequence
- Aronson's Sequence
- Recaman's sequence
- Golomb sequence
- Gould's Sequence
- k-th number in the Odd-Even sequence
- Aliquot Sequence
- Juggler Sequence
- Padovan Sequence
- Farey Sequence
- Program to print DNA sequence
- Smarandache-Wellin Sequence
- Sum of Arithmetic Geometric Sequence
Improved By : vt_m