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A062387
Squares in which removing a suitably chosen digit yields another square and this process can be continued until the digits are exhausted.
2
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
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
Sequence in context: A074101 A034377 A034378 * A029784 A112735 A059931
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