A062387 Squares in which removing a suitably chosen digit yields another square and this process can be continued until the digits are exhausted.

1, 4, 9, 16, 49, 64, 81, 100, 169, 196, 400, 841, 900, 1296, 1369, 1600, 1936, 4900, 6400, 8100, 10000, 12996, 13689, 16900, 19600, 40000, 64009, 84100, 90000, 129600, 134689, 136900, 160000, 193600, 490000, 640000, 810000, 1000000

Offset

1,2

Comments

The sequence is infinite because 100 times any term produces another term. - Harvey P. Dale, May 05 2018

Links

Table of n, a(n) for n=1..38.

Example

1296 = 36^2 belongs to the sequence as removing 2 yields 196 = 14^2. Removing a 9 from 196 yields 16, removing 6 yields 1 and all are perfect squares.

Crossrefs

Cf. A034377, A034378.

Sequence in context: A074101 A034377 A034378 * A029784 A112735 A059931

Adjacent sequences: A062384 A062385 A062386 * A062388 A062389 A062390

Keyword

nonn,base

Author

Amarnath Murthy, Jun 27 2001

Extensions

Corrected and extended by Larry Reeves (larryr(AT)acm.org), Jul 02 2001. Further terms from Klaus Brockhaus, Jul 05 2001

Status

approved