Define the following variant of the Fibonacci sequence called Fib3 in C programming language :● fib3(0) = 0● fib3(1) = 1● fib3(2) = 2● fib3(n) = fib3(n-1) + 2*fib3(n-2) + 3*fib3(n-3) for all n>=3That is, the sequence is 0, 1, 2, 4, 11, 25, 59, 142, 335, 796, 1892, 4489...uint64_t fib3(unsigned int n);Your function needs to compute and return the correct value for all n<50 under 1 second.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Define the following variant of the Fibonacci sequence called Fib3 in C programming language :

● fib3(0) = 0
● fib3(1) = 1
● fib3(2) = 2
● fib3(n) = fib3(n-1) + 2*fib3(n-2) + 3*fib3(n-3) for all n>=3

That is, the sequence is 0, 1, 2, 4, 11, 25, 59, 142, 335, 796, 1892, 4489...

uint64_t fib3(unsigned int n);
Your function needs to compute and return the correct value for all n<50 under 1 second.

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