A124301 Smallest number m such that A124300(m) >= n.

1, 2, 29, 242, 844, 22020, 217070, 1092747, 8870024, 221167422, 221167422

Offset: 0

Author

Reinhard Zumkeller, Oct 25 2006

Keywords

• nonn
• more

Comments

A008683(a(n) + k) = A008683(a(n)) for 0<=k<=n.

Examples

			a(4) = 844:
mu(844) = mu(2*2*211) = 0;
mu(844+1) = mu(5*13*13) = 0;
mu(844+2) = mu(2*3*3*47) = 0;
mu(844+3) = mu(7*11*11) = 0;
mu(844+4) = mu(2*2*2*2*53) = 0.
		

Crossrefs

Cf. A008683 (Möbius function mu), A124300.

Programs

PARI

a(n)={x=1;k=moebius(x);y=n+x;while(xJinyuan Wang, Apr 06 2019

Python

from itertools import count
from sympy import mobius
def A124301(n):
    c, m = 1, 1
    for i in count(2):
        k = mobius(i)
        if m!=k:
            if c>n:
                return i-c
            c = 0
        c += 1
        m = k # Chai Wah Wu, Oct 08 2024

Extensions

a(7)-a(8) from Peter T. Wang (peterw(AT)ugcs.caltech.edu), Feb 04 2007

Name edited by and a(9)-a(10) from Jinyuan Wang, Apr 06 2019