A048562
a(n+1)^2 is next smallest nontrivial square beginning with a(n)^2, initial square is 9.
Original entry on oeis.org
3, 31, 3101, 31010001, 3101000100000001, 9806223340409913487644162249555, 310100010000000100000000000000014337285304591730671503423653032
Offset: 0
A050632
a(n+1) is next smallest nontrivial square containing a(n) as a substring, initial term is 9.
Original entry on oeis.org
9, 49, 1849, 18496, 103184964, 7383508103184964, 544680602158273835081031849649
Offset: 1
Starting with a(2)=49, the sequence is identical to
A050630.
A249834
a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 7.
Original entry on oeis.org
7, 729, 7290099019, 72900990191475181426079596544
Offset: 1
-
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(7)
-
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(7)
A249837
a(n+1) is the next smallest nontrivial cube beginning with a(n), initial term is 9.
Original entry on oeis.org
9, 9261, 92615351886784, 9261535188678457128255779014690172977343833, 926153518867845712825577901469017297734383369607525414854584903918819898290730346512973206455943454340951813592133138664220381927
Offset: 1
-
nextterm:= proc(x) local d,s,t;
for d from 1 do
s:= traperror(ceil((x*10^d+1)^(1/3)));
while not type(s,integer) do
Digits:= Digits *2;
s:= traperror(ceil((x*10^d+1)^(1/3)));
od:
t:= traperror(floor(((x+1)*10^d-1)^(1/3)));
while not type(t,integer) do
Digits:= Digits *2;
t:= traperror(floor(((x+1)*10^d-1)^(1/3)));
od:
if s <= t then return s^3 fi;
od:
end proc:
a[1]:= 9;
for n from 2 to 6 do a[n]:= nextterm(a[n-1]) od; # Robert Israel, Dec 04 2014
-
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(9)
-
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(9)
Comments