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Ask LJ: Finding how a sequence of numbers grows (part II) - CERisE's Testing for L

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October 13th, 2006


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01:41 pm - Ask LJ: Finding how a sequence of numbers grows (part II)
Behind the cut, the same analysis for a sequence of 20 numbers which is presumed to be related and shows that it's not a function of form x^k where k is a natural number <=17

This one shows a point of inflection on the second derivative.


0.  90     115     145     190     240     310     395     505     650     830    1065    1360    1740    2230    2850    3650    4675    5980    7655    9800
1.      25      30      45      50      70      85     110     145     180     235     295     380     490     620     800    1025    1305    1675    2145
2.           5      15       5      20      15      25      35      35      55      60      85     110     130     180     225     280     370     470
3.              10     -10      15      -5      10      10       0      20       5      25      25      20      50      45      55      90     100
4.                 -20      25     -20      15       0     -10      20     -15      20       0      -5      30      -5      10      35      10
5.                      45     -45      35     -15     -10      30     -35      35     -20      -5      35     -35      15      25     -25
6.                         -90      80     -50       5      40     -65      70     -55      15      40     -70      50      10     -50
7.                             170    -130      55      35    -105     135    -125      70      25    -110     120     -40     -60
8.                                -300     185     -20    -140     240    -260     195     -45    -135     230    -160     -20
9.                                     485    -205    -120     380    -500     455    -240     -90     365    -390     140
10.                                        -690      85     500    -880     955    -695     150     455    -755     530
11.                                             775     415    -1380    1835    -1650     845     305    -1210    1285
12.                                                -360    -1795    3215    -3485    2495    -540    -1515    2495
13.                                                    -1435    5010    -6700    5980    -3035    -975    4010
14.                                                        6445    -11710    12680    -9015    2060    4985
15.                                                            -18155    24390    -21695    11075    2925
16.                                                                42545    -46085    32770    -8150
17.                                                                    -88630    78855    -40920

(2 comments | Leave a comment)

Comments:


[User Picture]
From:level_head
Date:October 17th, 2006 04:50 am (UTC)
(Link)
I missed this one! Almost certainly, you've worked this out by now. But, in an abundance of caution:

value = = 5 * round( 18 * 1.28 ^ [whole number], 0 )

===|==============/ Level Head
[User Picture]
From:testing4l
Date:October 17th, 2006 06:28 pm (UTC)
(Link)
Right. It's awfully hard to increment through sequences by infinitesmals ; )

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