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A161783 Squares n^2 whose decimal expansion contains n as a substring. 0
1, 25, 36, 100, 625, 2500, 3600, 5776, 10000, 62500, 141376, 250000, 360000, 390625, 577600, 1000000, 6250000, 14137600, 14379264, 25000000, 36000000, 39062500, 57760000, 87909376, 100000000, 214651801, 625000000, 1413760000, 2500000000 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

14379264 is in the list because 14379264= 3792^2 and 3792 is a substring of 14379264

EXAMPLE

1 contains its square root (1); 25 contains its square root (5); 3600 contains -- but does not end with -- its square root (60). - Dominick Cancilla (dcancilla1(AT)gmail.com), Jul 20 2010

MATHEMATICA

fQ[n_] := StringPosition[ IntegerString[n^2], IntegerString@n] != {}; lst = {}; k = 1; While[k < 50001, If[ fQ@k, AppendTo[lst, k^2]]; k++ ]; lst [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 23 2010]

CROSSREFS

Equals A018834^2. Cf. A035383.

Sequence in context: A162305 A029773 A029781 * A066217 A205644 A077437

Adjacent sequences:  A161780 A161781 A161782 * A161784 A161785 A161786

KEYWORD

nonn,base

AUTHOR

Claudio L Meller (claudiomeller(AT)gmail.com), Jun 19 2009

EXTENSIONS

Edited by N. J. A. Sloane, Jul 23 2010

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Last modified February 14 23:16 EST 2012. Contains 205687 sequences.