login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085546 Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits. 0

%I #16 Apr 11 2022 22:21:26

%S 12,13,102,128,103,1280,1003,3225,3514,3774,10013,10012,11153,11292,

%T 10920,10482,10407,11093,10023,31968,10128,32407,31647,32157,32873,

%U 33292,32295,32625,11826,32376

%N Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.

%H S. S. Gupta, <a href="http://www.shyamsundergupta.com/fsquare.htm">Fascinating Squares</a>

%e a(5) = 128 is the starting term of the 5-tuple(128,178,191,196,209) having squares (16384,31684,36481,38416,43681).

%e From _Jeffrey Shallit_, Aug 21 2020: (Start)

%e Here are the squares corresponding to the first few terms:

%e 2: 12, 21;

%e 3: 13, 14, 31;

%e 4: 102, 120, 201, 210;

%e 5: 128, 178, 191, 196, 209;

%e 6: 103, 130, 140, 247, 301, 310;

%e 7: 1280, 1780, 1910, 1951, 1960, 2009, 2090;

%e 8: 1003, 1030, 1300, 1400, 2470, 3001, 3010, 3100;

%e 9: 3225, 3750, 4005, 4050, 5004, 5040, 6450, 7080, 7755;

%e 10: 3514, 4396, 4406, 5593, 5909, 6556, 6944, 9013, 9121, 9572;

%e 11: 3774, 5592, 6132, 6432, 6561, 6639, 6858, 6879, 7812, 8568, 8571;

%e 12: 10013, 10031, 10130, 10310, 11003, 11030, 13001, 13010, 30011, 30110, 31001, 31010;

%e 13: 10012, 10021, 10120, 10210, 11002, 11020, 12001, 12010, 14179, 20011, 20110, 21001, 21010;

%e 14: 11153, 11423, 13507, 19532, 19771, 19978, 20468, 21197, 21953, 22318, 28847, 30233, 30512, 31471;

%e ... (End)

%Y Cf. A045879.

%K nonn,base,more

%O 2,1

%A _Lekraj Beedassy_, Jul 03 2003

%E a(7)-a(31) from _Jeffrey Shallit_, Aug 21 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)