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A100618 Initially there are n people in a room. At each step, if there are currently M people in the room, [M/k^2] of them leave, for k = 2, 3, ... Sequence gives number who are left at the end. 4
1, 2, 3, 3, 4, 5, 6, 6, 7, 8, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 15, 15, 15, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 23, 23, 24, 24, 25, 25, 26, 27, 28, 28, 29, 29, 29, 29, 30, 31, 32, 32, 33, 34, 35, 35, 35, 36, 36, 36, 37, 38, 39, 39, 40, 41, 42, 42, 43, 43, 43, 43, 44, 45, 46, 46 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If [M/k^2] is changed to [M/k] we get A100617.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

10 -> 10 - [10/4] = 8 -> 8 - [8/9] = 8, which is now fixed, so a(10) = 8.

MAPLE

f:=proc(n) local i, j, k; k:=n; for i from 2 to 10000 do j := floor(k/(i^2)); if j < 1 then break; fi; k := k-j; od; k; end;

MATHEMATICA

a[n_] := (k = 2; FixedPoint[# - Floor[#/(k++)^2]&, n]); Table[a[n], {n, 1, 100}] (* Jean-Fran├žois Alcover, Feb 10 2018 *)

PROG

(Haskell)

a100618 n = f 2 n where

   f k n | n' == 0   = n

         | otherwise = f (k+1) (n-n') where n' = div n (k^2)

-- Reinhard Zumkeller, Sep 15 2011

CROSSREFS

Cf. A250007 (run lengths).

Sequence in context: A025556 A005229 A091245 * A248227 A061288 A086525

Adjacent sequences:  A100615 A100616 A100617 * A100619 A100620 A100621

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 03 2004

STATUS

approved

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Last modified May 25 01:47 EDT 2019. Contains 323534 sequences. (Running on oeis4.)