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A258995 Third pi-based antiderivative of n: the least m such that A258851^3(m) equals n. 6
0, 5, 11, 10, 4, 29, 35, 41, 14, 431, 599, 78, 15, 38, 201, 191, 25, 382, 186, 43, 19, 65, 94, 3001, 535, 22, 42, 633, 317, 4397, 21, 141, 8, 74, 574, 214, 1286, 61, 253, 247, 1417, 163, 115, 217, 66, 546, 138, 10631, 1997, 51, 12097, 12301, 362, 26, 563, 1013 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = min { m >= 0 : A258851^3(m) = n }.

A258851^3(a(n)) = A258853(a(n)) = n.

a(n) <= A000040^3(n) for n>0.

a(n) <= A258861^3(n).

MAPLE

with(numtheory):

d:= n-> n*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):

a:= proc() local t, a; t, a:= -1, proc() -1 end;

      proc(n) local h;

        while a(n) = -1 do

          t:= t+1; h:= d(d(d(t)));

          if a(h) = -1 then a(h):= t fi

        od; a(n)

      end

    end():

seq(a(n), n=0..100);

CROSSREFS

Column k=3 of A259016.

Cf. A000040, A000720, A258851, A258853, A258861, A258862.

Sequence in context: A254766 A185201 A112956 * A157801 A061768 A205673

Adjacent sequences:  A258992 A258993 A258994 * A258996 A258997 A258998

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 16 2015

STATUS

approved

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Last modified November 15 11:35 EST 2018. Contains 317238 sequences. (Running on oeis4.)