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A249834 a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 7.

%I A249834 #31 May 22 2025 10:21:41
%S A249834 7,729,7290099019,72900990191475181426079596544
%N A249834 a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 7.
%C A249834 a(5) is an 87-digit number. - _Jon E. Schoenfield_, Dec 04 2014
%H A249834 Jon E. Schoenfield, <a href="/A249834/b249834.txt">Table of n, a(n) for n = 1..7</a>
%o A249834 (Python)
%o A249834 def f(x):
%o A249834   n = x
%o A249834   s = 1
%o A249834   while s < 10**7:
%o A249834     if s % 10:
%o A249834       S = str(s**3)
%o A249834       if S.startswith(str(n)):
%o A249834         print(s**3, end=', ')
%o A249834         n = s**3
%o A249834     s += 1
%o A249834 f(7)
%o A249834 (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 A249834 a(7)
%Y A249834 Cf. A048559, A048561, A249799, A249897.
%K A249834 nonn,base
%O A249834 1,1
%A A249834 _Derek Orr_, Dec 03 2014
%E A249834 a(4) from _Jon E. Schoenfield_, Dec 04 2014