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A249828 a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 6.

%I A249828 #41 May 22 2025 10:21:41
%S A249828 6,64,6434856,64348563687280925127256,
%T A249828 6434856368728092512725673603219352207940941512476919680996778471241599
%N A249828 a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 6.
%C A249828 a(6) is a 212-digit number. - _Jon E. Schoenfield_, Dec 05 2014
%H A249828 Jon E. Schoenfield, <a href="/A249828/b249828.txt">Table of n, a(n) for n = 1..7</a>
%o A249828 (Python)
%o A249828 def f(x):
%o A249828   n = x
%o A249828   s = 1
%o A249828   while s < 10**7:
%o A249828     if s % 10:
%o A249828       S = str(s**3)
%o A249828       if S.startswith(str(n)):
%o A249828         print(s**3, end=', ')
%o A249828         n = s**3
%o A249828     s += 1
%o A249828 f(6)
%o A249828 (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 A249828 a(6)
%Y A249828 Cf. A249799, A249896.
%K A249828 nonn,base
%O A249828 1,1
%A A249828 _Derek Orr_, Dec 03 2014
%E A249828 a(5) from _Jon E. Schoenfield_, Dec 05 2014