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A198863 Numbers whose squares are pandigital numbers with exactly two occurrences of each digit. 0
3164252736, 3164326683, 3164389113, 3164391957, 3164406057, 3164416923, 3164421333, 3164454864, 3164466768, 3164482974, 3164528124, 3164547114, 3164689392, 3164695206, 3164735277, 3164770866, 3164789766, 3164863185, 3164867118, 3164907357, 3165009693 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Later terms include: 4000171725, 4000183233, 4000198443, 4000203567.
Because the sum of the digits of a(n)^2 is 90, 9 divides a(n)^2. Hence, 3 divides a(n). - T. D. Noe, Nov 08 2011
LINKS
EXAMPLE
4000171725^2 = 16001373829489475625.
MATHEMATICA
Select[Range[3164250000, 3164450000], Union[DigitCount[#^2]] == {2} &] (* Alonso del Arte, Oct 31 2011 *)
t = {}; n = 3164211348; nMax = 9994386752; While[n <= nMax && Length[t] < 21, While[n <= nMax && Union[DigitCount[n^2]] != {2}, n = n + 3]; If[n <= nMax, AppendTo[t, n]; Print[n]; n = n + 3]]; t (* T. D. Noe, Nov 08 2011 *)
CROSSREFS
Cf. A156977 (n^2 contains each digit once).
Sequence in context: A092380 A096566 A217051 * A199630 A198298 A074773
KEYWORD
nonn,base,fini
AUTHOR
Pablo Martínez, Oct 30 2011
EXTENSIONS
All displayed terms are from Charles R Greathouse IV, Alonso del Arte and T. D. Noe, Nov 08 2011
STATUS
approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)