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%I #28 Apr 17 2020 02:50:46
%S 3,343,34328125,343281258441879199985152,
%T 3432812584418791999851522633552283890505384030397984598615707004422070464
%N a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 3.
%C Terms a(6) and a(7) are 219 and 658 digits long, respectively. - _Jon E. Schoenfield_, Aug 06 2017
%H Jon E. Schoenfield, <a href="/A249799/b249799.txt">Table of n, a(n) for n = 1..7</a>
%o (Python)
%o def f(x):
%o n = x
%o s = 1
%o while s < 10**7:
%o if s % 10:
%o S = str(s**3)
%o if S.startswith(str(n)):
%o print(s**3,end=', ')
%o n = s**3
%o s += 1
%o f(3)
%o (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++)
%o a(3)
%Y Cf. A048559, A048561, A249894.
%K nonn,base
%O 1,1
%A _Derek Orr_, Dec 03 2014