- #1

- 7

- 0

How to derive formula for the series of numbers as below:

(a) 4,8,15,16,23,42

(b) 4,17, 23,38,41,46

(a) 4,8,15,16,23,42

(b) 4,17, 23,38,41,46

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- Thread starter ryan8200
- Start date

- #1

- 7

- 0

How to derive formula for the series of numbers as below:

(a) 4,8,15,16,23,42

(b) 4,17, 23,38,41,46

(a) 4,8,15,16,23,42

(b) 4,17, 23,38,41,46

- #2

- 36,037

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- #3

uart

Science Advisor

- 2,776

- 9

There are many ways to fit those points to a curve, but whether or not any particular formula has any significant meaning is another question.

For the first one for example, you can write:

[tex]T_k = - \frac{9}{40} k^5 + \frac{25}{8} k^4 - \frac{117}{8} k^3 + \frac{215}{8} k^2 - \frac{223}{20} k + 4 \, \, \, \, \, : \,k = 0,1,2,3 \ldots[/tex]

- #4

mfb

Mentor

- 35,395

- 11,754

4,8,15,16,23,42 has some meaning in fiction (numbers in the TV-series "Lost", without pattern) and this obscure definition.

4,17, 23,38,41,46 and even the sequence of differences and sums gives no result.

- #5

uart

Science Advisor

- 2,776

- 9

[tex] T_k = \frac{1}{217} \left( 454 \, T_{k-3} - 63 \, T_{k-2} + 144 \, T_{k-1} \right) [/tex]

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