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A182657 Square numbers with at least one digit in common with any other positive square number. 1
92416, 124609, 132496, 162409, 165649, 195364, 196249, 214369, 264196, 346921, 351649, 395641, 401956, 436921, 495616, 541696, 543169, 651249, 669124, 1046529, 1192464, 1240996, 1247689, 1290496, 1354896, 1406596, 1456849, 1459264 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

As noted by W. R. Marshall, to be a term it suffices to have a digit set >= {1, 4, 5, 6, 9} as all positive squares must have one of these as their last nonzero digit, or >= {1, 2, 4, 6, 9} as squares with last nonzero digit 5 must have a 2.  This is enough to show membership for all terms < 2*10^6, and constraints from squares < 10^6 rule out the nonmembers in this range. - D. S. McNeil, Nov 28 2010

LINKS

Table of n, a(n) for n=1..28.

W. R. Marshall, SeqFan thread, "About a problem of Bernardo Recaman Santos"

CROSSREFS

Cf. A000290, A173943, A182658.

Sequence in context: A208623 A294857 A025042 * A251069 A184560 A225890

Adjacent sequences:  A182654 A182655 A182656 * A182658 A182659 A182660

KEYWORD

base,nonn

AUTHOR

William Rex Marshall, Nov 26 2010

STATUS

approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)