perplexus.info :: Sequences : Term Finding with Floor

Term Finding with Floor (Posted on 2016-06-09)

A sequence {S(n)} is defined as:
S(1) = 1, and:
S(n+1)= S(n)+ floor(S(n)/n) + 2,
for n = 1,2,3,. ....

Find S(2016)

No Solution Yet Submitted by K Sengupta

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computer solution (spoiler)

| Comment 1 of 3

DefDbl A-Z

Dim crlf$

Private Sub Form_Load()

Form1.Visible = True

Text1.Text = ""

crlf = Chr$(13) + Chr$(10)

s = 1

For gen = 2 To 2016

s = s + Int(s / (gen - 1)) + 2

Text1.Text = Text1.Text & s

Text1.Text = Text1.Text & crlf & " done"

End Sub

finds

24160

Posted by Charlie on 2016-06-09 10:31:50

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