generate-nth-term-for-the-sequence-1-1-1-2-3-5-9-18-35-75-

Question Number 207979 by Tawa11 last updated on 01/Jun/24

generate nth term for the sequence:
1, 1, 1, 2, 3, 5, 9, 18, 35, 75

Commented by Frix last updated on 02/Jun/24

Look there: oeis.org/A000602

Commented by Frix last updated on 02/Jun/24

We could find a polynomial of 9^{th} degree

but it {doesn}^{'} t fit the sequence in the link I

posted .

Commented by Tawa11 last updated on 03/Jun/24

Thanks sir . I appreciate

Answered by Berbere last updated on 02/Jun/24

n o t e U n i q u e;

m o r e G e n e r a l y

p (a_{1}) = x_{1}; \dots . . p (a_{n}) = x_{n}

p (x) = \underset{i = 1}{\sum^{n}} p (a_{i}) . \underset{j = 1; j \neq i}{\prod^{n}} \frac{(x - a_{j})}{(a_{i} - a_{j})} L a g r a n g e P o l y n o m i a l

p (1) = 1; p (2) = 1; p (3) = 1 \dots \dots .

Commented by Tawa11 last updated on 03/Jun/24

Thanks sir . I appreciate

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