A085546 Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.

12, 13, 102, 128, 103, 1280, 1003, 3225, 3514, 3774, 10013, 10012, 11153, 11292, 10920, 10482, 10407, 11093, 10023, 31968, 10128, 32407, 31647, 32157, 32873, 33292, 32295, 32625, 11826, 32376

Offset

2,1

Links

Table of n, a(n) for n=2..31.

S. S. Gupta, Fascinating Squares

Example

a(5) = 128 is the starting term of the 5-tuple(128,178,191,196,209) having squares (16384,31684,36481,38416,43681).
From Jeffrey Shallit, Aug 21 2020: (Start)
Here are the squares corresponding to the first few terms:
2: 12, 21;
3: 13, 14, 31;
4: 102, 120, 201, 210;
5: 128, 178, 191, 196, 209;
6: 103, 130, 140, 247, 301, 310;
7: 1280, 1780, 1910, 1951, 1960, 2009, 2090;
8: 1003, 1030, 1300, 1400, 2470, 3001, 3010, 3100;
9: 3225, 3750, 4005, 4050, 5004, 5040, 6450, 7080, 7755;
10: 3514, 4396, 4406, 5593, 5909, 6556, 6944, 9013, 9121, 9572;
11: 3774, 5592, 6132, 6432, 6561, 6639, 6858, 6879, 7812, 8568, 8571;
12: 10013, 10031, 10130, 10310, 11003, 11030, 13001, 13010, 30011, 30110, 31001, 31010;
13: 10012, 10021, 10120, 10210, 11002, 11020, 12001, 12010, 14179, 20011, 20110, 21001, 21010;
14: 11153, 11423, 13507, 19532, 19771, 19978, 20468, 21197, 21953, 22318, 28847, 30233, 30512, 31471;
... (End)

Crossrefs

Cf. A045879.

Sequence in context: A041300 A041302 A041304 * A041306 A058952 A058950

Adjacent sequences: A085543 A085544 A085545 * A085547 A085548 A085549

Keyword

nonn,base,more

Author

Lekraj Beedassy, Jul 03 2003

Extensions

a(7)-a(31) from Jeffrey Shallit, Aug 21 2020

Status

approved