A195269 Smallest n such that 3^n contains n consecutive 0's in its decimal representation.

10, 35, 148, 332, 540, 540, 7722, 22793, 107189, 107189, 513335, 1847534, 5756981, 32023025, 82011444

Offset: 1

Author

Max Alekseyev, Sep 14 2011

Keywords

• nonn
• base
• more

Comments

No more terms < 10^8. - Bert Dobbelaere, Mar 20 2019

Links

• Programming contest in Zealint's blog (in Russian)

Crossrefs

Cf. A131552, A131551, A131550, A131549, A131548, A131547, A131546, A131545, A131544.

Programs

Python

def A195269(n):
    m, s = 1, '0'*n
    for i in range(1,10**9):
        m *= 3
        if s in str(m):
            return i
    return "search limit reached." # Chai Wah Wu, Dec 11 2014

Extensions

a(15) from Bert Dobbelaere, Mar 20 2019