A249799 a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 3.

3, 343, 34328125, 343281258441879199985152, 3432812584418791999851522633552283890505384030397984598615707004422070464

Offset: 1

Author

Derek Orr, Dec 03 2014

Keywords

• nonn
• base

Comments

Terms a(6) and a(7) are 219 and 658 digits long, respectively. - Jon E. Schoenfield, Aug 06 2017

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 1..7

Crossrefs

Cf. A048559, A048561, A249894.

Programs

PARI

a(n)=k=n;s=1;while(s<10^7,if(s%10,if(s^3\(10^(#Str(s^3)-#Str(k)))==k,print1(s^3,", ");k=s^3));s++)
a(3)

Python

def f(x):
    n = x
    s = 1
    while s < 10**7:
        if s % 10:
            S = str(s**3)
            if S.startswith(str(n)):
                print(s**3,end=', ')
                n = s**3
        s += 1
f(3)