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* In place of calculating the factorial several times we can run a loop k times to calculate the combination
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5 C 3 = 5! / (3! * (5-3)! )
= (5*4*3*2*1)/[(3*2*1)*(2*1)]
=(5*4*3)/(3*2*1)
so running a loop k times will reduce the time complexity to O(k)
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* Replacing the generator with numpy vector operations from lu_decomposition.
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* tanh function been added
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* Input for user choose his Collatz sequence
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* Hexagonal number sequence
A hexagonal number sequence is a sequence of figurate numbers where the nth hexagonal number hₙ is the number of distinct dots in a pattern of dots consisting of the outlines of regular hexagons with sides up to n dots, when the hexagons are overlaid so that they share one vertex.
This program returns the hexagonal number sequence of n length.
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