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A258861 The pi-based antiderivative of n: the least m such that A258851(m) equals n. 6
0, 2, 3, 5, 4, 11, 13, 6, 19, 23, 29, 10, 8, 41, 43, 14, 53, 59, 61, 15, 12, 22, 79, 83, 89, 26, 21, 103, 107, 109, 25, 34, 16, 18, 139, 38, 151, 33, 163, 167, 173, 35, 181, 191, 28, 197, 199, 211, 223, 58, 229, 233, 24, 30, 27, 51, 49, 269, 55, 277, 281, 74 (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(m) = n }.

A258851(a(n)) = n.

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

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(t);

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

        od; a(n)

      end

    end():

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

CROSSREFS

Column k=1 of A259016, A259153.

Cf. A000040, A000720, A258851, A258862, A258995.

Sequence in context: A213648 A302849 A193971 * A171038 A023395 A316655

Adjacent sequences:  A258858 A258859 A258860 * A258862 A258863 A258864

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 12 2015

STATUS

approved

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Last modified August 8 23:02 EDT 2020. Contains 336300 sequences. (Running on oeis4.)