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
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- Sum of the sequence 2, 22, 222, .........
- Look-and-Say Sequence
- k-th number in the Odd-Even sequence
- Golomb sequence
- Increasing sequence with given GCD
- Alcuin's Sequence
- Connell Sequence
- Gijswijt's Sequence
- Recaman's sequence
- Gould's Sequence
- Aliquot Sequence
- Farey Sequence
- Aronson's Sequence
- Padovan Sequence
- Juggler Sequence
Improved By : vt_m